Question

If the surface area of the cube is 96 sq cm find its volume?

Answer 1

let

• the length of the side of a cube = a cm

• total surface area of the cube = 6a² square cm -----( ¡ ) 

† According to the Question

• Total  surface area of the cube = 96 square cm ------( ¡¡ )

• equation ( ¡ ) = ( ¡¡ ) 

→ 6a² = 96 

$\sf$

→ a² = 96 / 6

→ a ² = 16

→ a = √16

→ a = 4 cm

• Now volume of the cube = a ³ cubic cm

                                        → 4³

                                        → 64 cubic cm

                                        → 64 cm³