Question

find the volume of a cube whose surface area is
138.24 CM square

Answer 1

TSA of cube = 138.24
=> 6a^2 = 138.24
=> a^2 = 23.04
=> a = 4.8 cm

Volume = a^3
= 4.8 * 4.8 * 4.8
= 23.01 * 4.8
= 110.6 cm^3

Answer 2

$\huge\sf{\underline{\underline{Solution:}}}$

Given:

⇒ Total surface area of cube = 138.24 cm²

To Find:

⇒ Volume of cube

Formula used:

⇒ Total surface area of cube = 6a²

⇒ Volume of cube = a³

Now, firstly we will find the side of cube (a),

⇒ Total surface area of cube = 6a²

⇒ 138.24 = 6a²

⇒ a² = 138.24/6

⇒ a² = 23.04

⇒ a = 4.8 cm

Now, we will find the volume of cube.

⇒ Volume of cube = a³

⇒ Volume of cube = (4.8)³

⇒ Volume of cube = 110.59 cm³

Hence volume of cube is 110.59 cm³.