Question

If the lateral surface area of a cube is 100cm2 then its volume is ?​

Answer 1

Answer:

125cm^3

Step-by-step explanation:

CSA= 100

4a^2=100

a^2=25

a=5

V=a^3

= 5^3

=125cm^3

Hope this helps.

Answer 2

Given - Lateral surface area of cube

Find - Volume

Solution - Volume of cube is 125 cm³.

Lateral surface of cube = 4*side²

4*side² = 100

$side² = \frac{100}{4}$

Performing division

${side}^{2} = 25$

$side = \sqrt{25}$

Taking square root

$side = 5 \: cm$

Volume of cube = side³

$volume = {5}^{3}$

Taking cube

$volume = 125 \: {cm}^{3}$

So, the volume of cube is 125 cm³.