Use as many of these as you need to build the largest single cube you can. For a given positive number N to be a perfect square, it must satisfy S 2 = N, where S is another positive number. What is the side length of the cube you built? Other Posts In This Series. If the cube is painted, then each of the blocks has 3 of its faces painted. Answer: 54 This was the solution for How many colored squares appear on a Rubik’s Cube?. The cube is dual to the octahedron.It has cubical or octahedral symmetry. 2. If a 3 x 3 x 3 cube is painted, a given block may have 0, 1, 2 , or 3 of its faces painted. b. to a larger and larger size — how does the volume change? The volume of the built cube is 4 × 4 × 4 = 64 cubic units. Squares and Cubes - search is the most efficient way to navigate the Engineering ToolBox! Use your knowledge of times tables or multiplications of 10: if a number in the list is not the result of multiplying a number by itself, it is not a perfect square. I started with 20^2 but that was to big so i tried 19^2 and got 361. c. A cube has edge length 3 in. How Many Cubes Are Missing Answer. For example, begin with 4 squares in a line and one on the end making an 'l' shape. The area of any one face of the built cube is 3 × 3 = 9 sq units. There are 5 leftover snap cubes. Repeat with 4 squares in a line and the fifth square making a 't' … Use this calculator to find the cube root of positive or negative numbers. Problem: Given a 2 x 2 x 2 cube made of 8 1 x 1 x 1 blocks. Type I: (80-100): Assume base 100. 361 and 324 are perfect squares. The raised 2 in 52 is called an exponent. Perfect Cubes . Both Prism A and Prism B have a volume of 6 cubic inches. Perfect Squares and Perfect Cubes. We are providing the squares and cubes of numbers from 1 to 50 below. 841 side (dimensions are measured by each individual square):9 1x1 squares4 2x2 squares1 3x3 square14 in Total6 sides to a cube: 6 * 14 = 84 Now count the number of squares created by the 2 middle squares. This gives 10 more squares, so in total there are 30 + 10 = 40 squares in the picture. Explain what a perfect cube is. Open the next applet. the answer is 26. the less elegant way of counting would be to notice that 9 cubes are visible on each of 6 sides, but 12 of them on edges are counted twice (one extra) and 8 of them on vertices are counted 3 times (2 extra). When we multiply three of the same number together like 4 × 4 × 4, we say we are cubing the number. Each small cube has a side length of 1 unit. There are 9 squares (or stickers) on one side of a Rubik's Cube. A square has side length 4 cm. Hence there are $2 \times 2 = 4$ 3x3 squares in the 4x4 square. How many snap cubes did you use? A: They have the same volume. NRICH. Cubes in Architecture. For … Copyright © 2005, 2020 - OnlineMathLearning.com. So here in the puzzle image, we can see that we have to add 2 cubes in the top row, 6 cubes … C: More inch cubes can be packed into Prism A than into Prism B. Students; primary age 5-11 primary students; secondary age 11-18 secondary students; Post 16 age 16+ post 16; Teachers; early years age 0-5 Early years; … The side lengths of the rectangles (s1, s2, s3, and s4), and the height of the triangles h is needed. Hi Arul. This rules out both crude no-rules upward folding to try and get the eight squares surrounding the cube to wrap up and totally enclose it, and simply hacking the grid into nine unit squares and using six of them to attach to the cube faces. How to calculate Squares ? 4. Back to Factoring. A cube has side length 4 cm. But you can also write it as 64 = 4 x 4 x 4, making it a cube. Do you get answers more or less than 64? 4 x 16 = 64 is the product of two squares, so it is also a square. In this case, 9. How many times a day on a clock do the minute and hour hand overlap? Consider the center square on each face. In particular, when the Cube is unscrambled apart from the orientations of the central squares, there will always be an even number of centre squares requiring a quarter turn. Non-perfect squares: 5, 24 Tricks for calculating Cube. What is its side length? This net can be assembled into a triangular prism. A square with side length 5 inches has area of 25 square inches, which we can write as 25 in2. Because 5 × 5 is 25, we can write 52 = 25, and we say, "5 squared is 25". For instance, you might fold upward along all the lines. Decide if each number on the list is a perfect square. The following is a list of perfect squares. problem and check your answer with the step-by-step explanations. I can shift each 3x3 blue square down one square to get two more 3x3 squares inside the 4x4 square . Their are also 9 squares on each side, so 6*9=54. We use the word cubed to mean "to the third power". Cubes and Cube Roots. To read 25 in2, we say "25 square inches", just like before. 8. Find another number that is both a perfect square and a perfect cube. Now count the number of squares created by the 2 middle squares. A number is a perfect cube when that number of small cubes can be assembled into a larger cube. As seen in the explanation of D above, Prism B has a greater surface area than Prism A. Material Description: Felt mat, short chains Method: Game 1 – shapes Form chains with each short chains, beginning with the chain of The volume of a cube with edge length 2 millimeters is 23 mm3. Show your reasoning. A good knowledge of this is crucial in almost all the competitive exams such as SSC CHSL, RRB NTPC, IBPS RRB PO/ Clerk, … It is also a perfect cube because it equals 25 3. The four squares from your original rectangle will make the sides of the cube, and the top and bottom squares will become the top and bottom of your cube. 64 equals both 82 and 43. We welcome your feedback, comments and questions about this site or page. A prime number is only divisible by 1 and itself. 841 side (dimensions are measured by each individual square):9 1x1 squares4 2x2 squares1 3x3 square14 in Total6 sides to a cube: 6 * 14 = 84 Show your reasoning. Record those possibilities which make cube nets. Prism B is 1 inch by 1 inch by 6 inches. But we can go one step further. I did this with a calculator by squaring numbers. 4. After trying the questions, click on the buttons to view answers and explanations in text or video. 3. Inside of each square is 4 squares, so there are: 2 big middle squares 8 small middle squares. Perfect Squares. Appendix: The Cubes! The area of a square is 64 sq cm. What does that tell you about the number you need? We can write the expression as 52. 1. This is a list of Squares and Cubes from 1-50. Those dots lie on rows and columns, such as in the drawing. When we multiply two of the same number together, such as 5 × 5, we say we are squaring the number. However this wouldn’t be accurate as a cube isn't cubes all the way through. cube of no.2 3*3 square will have 14 squares and 22 rectangles making total of 36 i.e. To find the answer, first we should know that a cube three-dimensional solid object bounded by six square faces, facets or sides and it is equal on all sides. 1. 1 2 = 1 2 2 = 4 3 2 = 9 4 2 = 16 5 2 = 25 6 2 = 36 7 2 = 49 8 2 = 64 9 2 = 81 10 2 = 100 11 2 = 121 12 2 = 144. Problem: Given a 2 x 2 x 2 cube made of 8 1 x 1 x 1 blocks. The square-cube law simply points out that volume grows exponentially faster than surface area with increasing size, since area is a square function and volume is a cubic function. How many cubes of different sizes (eg. When the students have found and recorded all 11 (perhaps in a way which shows the 'longest line families'), there are still several possible investigations. In this series we will also cover addition, subtraction, multiplication and division. Expert Answer 100% (1 rating) 2*2 square will have 4+1 squares and 4 rectangles i.e. Decide if each number on the list is a perfect cube. … There are 9 squares (or stickers) on one side of a Rubik's Cube. Answer questions 1 and 2 first. 2. a. 1x1x1, 2x2x2, 3x3x3) are there in total in say, a 3x3x3 cube? Surface area of Prism B = 4(6) + 2(1) = 26 in2. They tell you how many factors to multiply. 3. Back to Factoring. But (their … A good knowledge of this is crucial in almost all the competitive exams such as SSC CHSL, RRB NTPC, IBPS RRB PO/ Clerk, … We know that a square has 4 vertices, 4 edges, and 1 square face. This is equal to the number of snap cubes used. Because 5 × 5 is 25, we can write 52 = 25, and we say, "5 squared is 25". A cube has edge length 5 in. The number 15,625 is both a perfect square and a perfect cube. One cube can contain as many as 525 modular bricks that weigh 3.5 pounds each, or as few as 201 utility bricks that weigh 8.79 pounds each. –EOF (The Ultimate Computing & Technology Blog) — What started out as a movable prototype to help his architecture students soon became a bestselling toy, leading to world championships in solving the puzzle, spin-off products and speedcubing. 32 is not a perfect cube. Looking at the other variable, I note that a power of 6 is the cube of a power of 2, so the other variable in the first term can be expressed in terms of cubing, too; namely, as the cube of the square of y. B: They have the same number of faces. Calculating cube of a number consumes a lot of time while solving the Quantitative Aptitude section of any bank exam. That makes it a total 45 cubes. 0 0. 1. Slide the corner into the piece you're putting in to attach it. problem solver below to practice various math topics. Continue Reading. What is the volume of the built cube? 3. Skip over navigation. 4. squares. A number is a perfect square when that number of small squares can be arranged into a large square: Open the applet. A cube with edge length 4 centimeters has a volume of 64 cubic centimeters, which we can write as 64 cm3. 3. 2. 1, 8, 27, 64… How do they change? This time, start with the next smallest square: 9. In context|geometry|lang=en terms the difference between square and cube is that square is (geometry) a polygon with four sides of equal length and four angles of 90 degrees; a regular quadrilateral whose angles are all 90 degrees while cube is (geometry) a regular polyhedron having six identical square faces. Show your reasoning. A number is a perfect square when that number of small squares can be arranged into a large square. rubik's cube consists of 3^3 = 27 cubes, and only one of them (central) is not exposed. When we multiply three of the same number together like 4 × 4 × 4, we say we are cubing the number. The cube is the only regular hexahedron and is one of the five Platonic solids.It has 6 faces, 12 edges, and 8 vertices. What is the edge length of the new cube you built? There are 6 squares on the red cube and 6 on the blue one, and we also find 12 squares traced out by the edges of the moving cube for a total of 24. There are 9 colored squares on each side of the cube in the same color. There are two zeroes in the base so up to 2 digits will be added. 1. To start, we want to have the face with the white center square in … All measurements are in meters. What is its volume? To understand cube roots, first we must understand cubes ... How to Cube A Number. To find the side length, you need to find a number which, when multiplied by itself, equals 64. In context|mathematics|lang=en terms … What is the area of each face of the built cube? So to complete the Cube to fill we would need another row on top to make it an actual cube. Count how many of each. If the cube is painted, then each of the blocks has 3 of its faces painted. When we multiply two of the same numbers together, such as 5 × 5, we say we are squaring the number. Similarly the squares can be considered as six groups of 4 parallel squares, one such square through each vertex. This problem has been solved! Note: Numbers that give integers when their square roots are calculated are called perfect cube. Use as many cubes as you need to build the largest single cube you can. The instructions of how to use the online Square and Cube Calculator are fairly easy. The solution behind the How Many Squares puzzle which often pops up on Facebook timelines. Different types of bricks serve different purposes, including insulation, heat resistance for … 2. There are a total of 26 small cubes that make up the Rubik's cube (there are no cubes inside the puzzle). Perfect Cubes . First, 9 x 9 = 81. 1. This is because a square with side length s has an area of s × s, or s2. What is its volume? So yes 9 times 6 is 54. Incidentally, there is a formula to count the number of squares in an n x n grid. Who is the longest reigning WWE Champion of all time? So, if a cube represents a number multiplied by itself thrice, the cube root of a number represents the number that is multiplied 3 times to give the original number. The Open Up Resources math curriculum is free to download from the Open Up Resources website and is also available from Illustrative Mathematics. These activities introduce working with the squares and cubes of numbers at Elementary. It was first described in 1638 by Galileo Galilei in his Two New Sciences as the "...ratio of two volumes is greater than the ratio of their surfaces". It is also important to make the user familiar … Certain pairs of center squares (and by default, certain pairs of colored faces) will always be opposite to one another. Another way … What about 2x2 squares? The following is a list of perfect squares. 343 is perfect cube. Calculator Use. A cube has side length 10 inches. a. The built cube consists of 64 snap cubes. Why don't libraries smell like bookstores? A prime number is a number with exactly two factors. You can use it like this: (we say "the cube root of 27 equals 3") You Can Also Cube Negative Numbers . Show your reasoning. 2*2 square will have 4+1 squares and 4 rectangles i.e. Try the free Mathway calculator and 20 = 4 × 5 or 2 × 10, not a perfect square, 125 is not a perfect square; the closest perfect square is 121 = 11. Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications! Memorizing the squares and the square roots of the first few numbers are almost elementary and it can help you solve problems much faster … For these questions, make sure to include correct units of measure as part of each answer. c. Orange will always be opposite to Red. We also use this notation for square and cubic units. Square is a see also of cube. W (a) How Many Squares Are On The Yellow Side Of The Cube? For example, 53 = 5 × 5 × 5, and 82 = 8 × 8. A cube with edge length 4 centimeters has a volume 64 cm3. 1 2 = 1 2 2 = 4 3 2 = 9 4 2 = 16 5 2 = 25 6 2 = 36 7 2 = 49 8 2 = 64 9 2 = 81 10 2 = 100 11 2 = 121 12 2 = 144. 1. What is its volume? So now we add an additional 5×5=25 cubes on the top row. What information would you need to find its surface area? 1. Both are rectangular prisms, which must have 6 faces. Similarly, C 3 = N for a perfect cube.. N = S 2 = C 3. So for each side, the colors are red, blue, yellow, green, orange, and white. Add … Question:-”How many square inches are in a cubic foot?” There are no square inches in a cubic foot. From the previous questions, a cube with a volume of 27 cubic units measures 3 × 3 × 3, and a cube with a volume of 64 cubic units measures 4 × 4 × 4. 1. White will always be opposite to Yellow . What is its volume? Here are some steps of shortcut tricks on how to calculate the cube of a number. To get the square root, we simply divide the exponent by 2. Given a number x, the cube root of x is a number a such that a 3 = x.If x positive a will be positive, if x is negative a will be negative. In total, you multiply 9 x 6 and then there are 54 stickers. Of the 54 squares on the cube, 48 of them could … 1) You have a total of 9 squares, arranged to form … The first produced Rubik's Cube had six sides, each a different color (traditionally blue, green, orange, red, white, and yellow). Exponents are also used as shorthand for units of area (square units) and units of volume (cubic units). How many squares are on a rubics cube? I have trouble figuring this out. Area of two sloping faces = 2 × 1 m × 1.2 m = 2.4 m2 Both Prism A and Prism B have the same volume, and therefore can hold the same number of inch cubes. Repeat with 4 squares in a line and the fifth square making a 't' shape, and so on. If a 3 x 3 x 3 cube is painted, a given block may have 0, 1, 2 , or 3 of its faces painted. Prime, Square and Cube Numbers Prime numbers. 4. What is its side length? How many colored squares appear on a Rubik’s Cube? The gray square will give you 64 cubes. We can also say that 25 is a perfect square. Squares. Squares, cubes, square roots and cube … Perfect squares: 1, 4, 16, 25 The second term is 64, which I remember is the cube of 4. b. Perfect cubes: 1, 8, 64, 125 3 is a prime number and is not a perfect cube. 3. Do the math: 9*6 - 12 - 8*2 = 26. accessibility contact Skip over navigation Terms and conditions; Home; nrich. b. The diagram, or net of a cube shows what the cube would look like unfolded and also shows the surface area.A square is just a square; a 2-dimensional object, whereas a cube is a 3-dimensional object. Area of 2 triangular bases = 2 × ½ × 1.2 m × 0.8 m = 0.96 m2 In expressions like 53 and 82, the 3 and the 2 are called exponents. You can form bigger quadrilaterals by joining 4 vertices of any of the unit squares. A square has side length 7 km. It is a perfect square because it equals 125 2. Inside of each square is 4 squares, so there are: 2 big middle squares 8 small middle squares. What is its area? Do the same for a 4 x 4 x 4 cube, a 5 x 5 x 5 cube, and a n x n x n cube. If a given number of cubes can be arranged into a larger cube, that number is a perfect cube. Thus, if N is a 6 th power, then this would certainly work. 7. Find the surface area of this triangular prism. Learn more about squares, cubes, and how exponents relate to the area or volume of squares and cubes. Squares Enter An Exact Number, (b) How Many Squares Are On All Sides Of The Cube? The edges in the hypercube come in four groups of 8 parallel edges. Embedded content, if any, are copyrights of their respective owners. Surface area of Prism A = 2(3 × 2) + 2(3 × 1) + 2(2 × 1) = 22 in2. The square-cube scaling of the surface area to volume ratio is why stuff dries faster in a pan than a … Some examples are shown in the picture above. Count the squares, cubes, or hypercubes In a square grid of dots, you can draw by connecting any two dots with a line. Prism A is 3 inches by 2 inches by 1 inch. We know that a four-dimensional hypercube has 16 vertices, but how many edges and squares and cubes does it contain? Another way of expressing this is that a perfect cube is the result of raising any whole number to the third power. Square-1. E: True. b. This is the special symbol that means "cube root", it is the "radical" symbol (used for square roots) with a little three to mean cube root. What is the answer to the middle school math pizzazz book of e-28? We can write it as 43. There are 840 squares, and 3864 rectangles for a 7×7 rubik cube. 4. Record those possibilities which make cube nets. Show transcribed image text. The square–cube law (or cube–square law) is a mathematical principle, applied in a variety of scientific fields, which describes the relationship between the volume and the surface area as a shape's size increases or decreases. It is a perfect square because it equals 1252. 1. When did organ music become associated with baseball? What is the volume of the built cube? Learning With Visual Aids Locate a piece of graph paper. The illustration on the bottom, left, shows two … Main menu Search. b. If a variable with an exponent has an even exponent then it is a perfect square. Do the same for a 4 x 4 x 4 cube, a 5 x 5 x 5 cube, and a n x n x n cube. The Magic Cube, as Rubik first called it, is comprised of smaller cubes, and each side of the main cube displays nine colored squares. What is 84 divided by 26 divided into equal parts. The built cube has a side length of 3. start with the lowest one Let’s take any face 1*1 squares = 25 as one face of cube is made up of 25 tiny bits of squares 2*2 squares = 16 If you are facing difficulty in visualising this. It is also a perfect cube because it equals 253. Blue will always be opposite to Green. See the answer. Incidentally, there is a formula to count the number of squares in an n x n grid. Find another number that is both a perfect square and a perfect cube. If … Use an exponent to express its volume. 1 equals both 12 and 13. (There is an error in the applet title.) We use the word squared to mean "to the second power". In general, the area of a square with side length s is s2, and the volume of a cube with edge length s is s3. 2. a. The area of a square with side length 7 kilometers is 72 km2. Add glue to each flap as you put the cube together. The answer depends on whether the overlapping of paper is allowed. As simplification is an important part of Quantitative Aptitude, We will learn how to know squares, cubes, square root and cube root. Because 4 × 4 × 4 is 64, we can write 43 = 64, and we say, "4 cubed is 64". The magic behind flow chemistry, black holes, and probably why dinosaurs died (vide infra). cube of no.2 3*3 square will have 14 squares and 22 rectangles making total of 36 i.e. Step 1: Note the cube of tens place digit in a row of four figures. The raised 3 in 43 is also an exponent. So yes 9 times 6 is 54 A cube has 48 symmetries, 24 of which can be realised physically on a solid cube; the other 24 effectively turn the cube inside out. Orient the Cube Properly. Numbers - squares, cubes, square roots and cube roots . squares of 1 + squares of 2 will be number of squares and squares and rectangles together will be cube of 2 making total number nine.i.e. well as stated before their are 6 sides, and each side has a different color. A ‘square inch’ is a measure of two-dimensional area. What started out as a movable prototype to help his architecture students soon became a bestselling toy, leading to world championships in solving the puzzle, spin-off products and speedcubing. A: True. Write a sentence that explains your reasoning. This is a list of Squares and Cubes from 1-50. This gives 10 more squares, so in total there are 30 + 10 = 40 squares in the picture. 2. Thus orientations of centres increases the total number of possible Cube permutations from 43,252,003,274,489,856,000 (4.3×10 19 ) to 88,580,102,706,155,225,088,000 (8.9×10 22 ). b. This is equal to the number of snap cubes used. if you rotate the cube enough times you will see 6 different Techniques for Adding the Numbers 1 to 100; Rethinking Arithmetic: A Visual Guide; Quick Insight: Intuitive Meaning of … Squares Number Talk 15 min • Show the picture of 3 by 3 toothpick square to the class and ask students to figure out how many toothpicks are used to make the square without counting each toothpick individually. All of your folds should be in the same direction. Count how many of each. We can build a model of a cube and count its 8 vertices, 12 edges, and 6 squares. It is only needed to input only one known dimensions of a Square or a Cube to find the associated values. There are 9 colored squares on each side of the cube in the same color. How many nets can you find … Similar to square roots, cube roots are the inverse operations of cubes. E: The surface area of Prism B is greater than that of Prism A. The Magic Cube, as Rubik first called it, is comprised of smaller cubes, and each side of the main cube displays nine colored squares. Let’s investigate perfect squares and perfect cubes. How many positive two-digit numbers are there whose square and cube both end in the same digit? The cube is also a square parallelepiped, an equilateral cuboid and a right rhombohedron.It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations.. Drag on the red point on the cube to move it, and click on the point to switch between vertical and horizontal movement. Select all statements that are true about the two prisms. If there are only two edges left to finish the cube then you've got parity. 64 is a perfect cube, so there are no leftovers. 6. a. That's 5×5×5 (5×5 for one side — which in cube terminology is a layer) and then 5 layers. Question: Use The Diagram Of The Cube. Find four numbers that are perfect squares and two numbers that are not perfect squares. 2. 3. a. If a variable with an exponent has an even exponent then it is a perfect square. One cannot be converted to the other. Surface area = 0.96 m2 + 1.44 m2 + 2.4 m2 = 4.8 m2. Prism A and Prism B are rectangular prisms. The gray square will give you 32 cubes. Area of the bottom rectangular face = 1.2 m × 1.2 m = 1.44 m2 Let’s return to Martin’s Papered cube question from above. So if we are talking cubies (the individual pieces which mak. So How Many Cubes Are Missing Answer is 45 4. a. On the face of it you would think 125. How many snap cubes did you use? D: The two prisms have the same surface area. So for each side, the colors are red, blue, yellow, green, orange, and white. Perfect Squares. Interview question for Software Development Engineer in Makati City.How many squares are there in a rubik’s cube The number 15,625 is both a perfect square and a perfect cube. How many of these can you find? Non-perfect cubes: 9, 16 The square–cube law (or cube–square law) is a mathematical principle, applied in a variety of scientific fields, which describes the relationship between the volume and the surface area as a shape's size increases or decreases. When the Rubik's Cube is solved, the entire side will match the color of the center square. If it … We can write it as 43. Squares, Cubes and Roots Numbers - squares, cubes, square roots and cube roots . The area of a square is 49 m2. We are providing the squares and cubes of numbers from 1 to 50 below. A cube has side length s units. The built cube consists of 27 snap cubes. The area of any one face of the built cube is 4 × 4 = 16 sq units. 2. The Square-1 (previously called as Cube 21 and Back to Square One) is a shape-shifting three-layered twisty puzzle.Its solution is very unique because the kite-shaped corners and the triangular edges are indistinguishable to the puzzle's inner mechanism, meaning that corners can be swapped with edges and therefore it's possible to have 10 pieces in the upper … However, if you're asking as in like a math puzzle, for example saying that a 2x2 block is a square and then cube itself is a square and the little squares themselves are squares, and you're asking how many, there are 108 if you're counting 2 dimensional squares. D: False. A ‘cube’ is a three-dimensional volume. The number 9 is a perfect square. Find four other numbers that are perfect cubes and two numbers that are not perfect cubes. B: True. We can write it like this: 52. Here in this post we are going to provide the How Many Cubes Are Missing Answer. C: False. Using this method we can work out the next square that is a cube by repeating this process. Solely one of the values of the square is required for the Square and Cube Calculator to calculate all mathematical solutions of a Square and Cube. 5. Be specific, and label the diagram as needed. Try the given examples, or type in your own Cube roots is a specialized form of our common radicals calculator. there are 9 … What quantity is calculated by multiplying three dimensions length width and height? How might you find more numbers that are perfect cubes? You have a certain number of unit squares in a plane. Steph S. 1 decade ago. The first five positive perfect cubes are 1, 8, 27, … It was first described in 1638 by Galileo Galilei in his Two New Sciences as the "...ratio of two volumes is greater than the ratio of their surfaces". A. Each side had nine squares, in a three by three grid pattern. The solution behind the How Many Squares puzzle which often pops up on Facebook timelines. Take the sixth square 'for a walk' around this L and place it in every possible position. Say N = A 6.Then S = A 3 and C = A 2.. In total, you multiply 9 x 6 and then there are 54 stickers. s1, s2, and s3 are also equal to the side lengths of the triangles. What is the area of each face of the built cube? That's probably the easiest way to find solutions.