Find the length of each side of a cube if its volume is 512 cm³.

Solution:

Given, the volume of a cube is 512 cm³.

We have to find the length of each side of a cube.

A cube is a three-dimensional object that has 6 congruent square faces.

Dimensions of all the 6 square faces of the cube are the same.

Volume of cube = side × side × side = a³

Given, a³ = 512 cm ³

Cube root is an inverse operation of a cube.

Taking cube root,

∛a³ = ∛512

= ∛(8)³

= 8 cm

Therefore, the length of each side of the cube is 8 cm.

✦ Try This: Find the length of each side of a cube if its volume is 729 cm³.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 118

Find the length of each side of a cube if its volume is 512 cm³

Summary:

The length of each side of a cube if its volume is 512 cm³, is 8 cm.

☛ Related Questions:

• Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the numbers
• How many square metres of carpet will be required for a square room of side 6.5m to be carpeted
• Find the side of a square whose area is equal to the area of a rectangle with sides 6.4m and 2.5m