ML Aggarwal Solutions for Class 8 Maths Chapter 4 Cubes And Roots

To cube a number, we use the number in multiplication 3 times. A cube root goes the other direction. 3 cubed is 27, so the cube root of 27 is 3. The cube root of a number is the value that when cubed gives the original number. In arithmetic and algebra, the cube of a number n is its third power, the result of the number multiplied by itself twice:

n3 = n × n × n.

It is also the number multiplied by its square.

n3 = n × n2.

Cube numbers are also known as perfect cubes. It is also the volume formula for a geometric cube with sides of length n, giving rise to the name. The inverse operation of finding a number whose cube is n is called extracting the cube root of n. It determines the side of the cube of a given volume. It is also n raised to the one-third power.