Question

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

Answer 1

110.592 Cm cube is the volume

Answer 2

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

▪Given:

• ⇒ Total surface area of cube = 138.24 cm²

▪To Find:

• ⇒ Volume of cube

⇒ 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.