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Cubes & Cubes Roots - 1 Video Lecture - Class 8

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FAQs on Cubes & Cubes Roots - 1 Video Lecture - Class 8

1. What is a cube in mathematics?
Ans. In mathematics, a cube refers to a three-dimensional shape with six equal square faces. Each face of the cube is a square, and all the edges of the cube have equal length.
2. What is a cube root?
Ans. A cube root is the number that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3, as 3 x 3 x 3 equals 27.
3. How do you find the cube of a number?
Ans. To find the cube of a number, you need to multiply the number by itself twice. For instance, if you want to find the cube of 4, you would multiply 4 by 4 and then multiply the result by 4 again, giving you 64.
4. What is the relationship between cubes and cube roots?
Ans. The cube and cube root are inverse operations of each other. If you take the cube of a number and then find the cube root of the result, you will get back the original number. Similarly, if you take the cube root of a number and then cube the result, you will also get back the original number.
5. How are cubes and cube roots used in real-life applications?
Ans. Cubes and cube roots are used in various real-life applications, such as calculating the volume of a cube-shaped container, determining the side length of a cube given its volume, or finding the weight of an object based on its density and volume. In finance, cube roots are also used in calculating compound interest or determining the growth rate of investments.
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