Question

The lateral surface area of the cube is 900 sq. cm.Find its volume.

Answer 1

Answer:

Stateral surface area of cube = 4a^2 = 900

a^2 = 900/4

a = 150cm

Total surface area = 6a^2

= 6(150)^2

= 135000 cm sq.

volume of cube = side cube

=(150)^3

=3,376,000 cm cube.ep-by-step explanation:

Answer 2

Let each side of the cube be a cm

Then, the lateral surface area of the cube = $(4a^2)cm^2$

$4a^2 = 900 => a^2 = 225 => a = √225 = 15$

Volume of the cube = $a^3 cm^3$

= $(15 × 15 × 15)cm^3$

= $3375cm^3$