Question

The volume of a cube is 1000cm3. Find the side of a cube.

Answer 1

Volume of a cube=l³
l³=1000cm³
l=∛(1000cm³)
 =∛[(10cm)³]
 =10cm

Answer 2

Given,

The volume of a cube = 1000 cm^3.

To find out,

The side of a cube.

Solution:

$\huge \: volume \: of \: cube \: = {side}^{3} \\ \\ let \: the \: side \: of \: the \: cube \: be \: a. \\ \\ volume \: of \: cube \: = {a}^{3} \\ \\ 1000 = {a}^{3} \\ \\ a = \sqrt[3]{1000} \\ \\ a = 10$

Therefore the side of the cube is 10 cm.

proof:

$\huge \: volume \: of \: cube \: = {side}^{3} \\ \\ 1000 = {10}^{3} \\ \\ 1000 = 10 \times 10 \times 10 \\ \\ 1000 = 1000$