Question

The lateral surface area of a cube is 900 cm square find its volume

Answer 1

$\bold{Solution:}$

$\boxed{lateral\:surface\:area=4a^2}$

using it,

4a^2 = 900

or, a^2 = 900 / 4

or a = plus or minus 30/2=15 or -15

Since the site cannot be negative we can't ignore negative 15

$\bold{side=15}$

To find volume

$\boxed{Volume=6a^2}$

using it,

= (6)(15^2)

or,6x225

or, volume=1350

$\boxed{Volume=1350cm^3}$

Answer 2

Answer:3375 cm^3

Step-by-step explanation:

Please find the attached file.