Question

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

Answer 1

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.

Some Important formulas:

⇒ Curved surface area of cube (CSA) = 4a²

⇒ Total surface area of cube (TSA) = 6a²

⇒ Volume of cube (V) = a³