Question

Find the volume of cube whose lateral surface area is 400 cm2

Answer 1

400*400 *400 cm 3
1/8 * 400*400*400
100*200*400

Answer 2

Given:

Lateral surface area=400 cm2

To find:

The volume of the cube

Solution:

The required volume is 1,000 $cm^{3}$.

Let the cube's side be A.

Now, the lateral surface's area of a cube is 4 times the area of its side.

=4×$A^{2}$

Using the values,

400=4×$A^{2}$

100=$A^{2}$

10 cm=A

Now, the cube's required volume is the cube of its side.

Required volume=$A^{3}$

Using the value,

=$10^{3}$

=1,000 $cm^{3}$

Therefore, the required volume is 1,000 $cm^{3}$.