Question

the total surface area of a solid cube is 216cm3. find its volume​

Answer 1

The total surface area of the cube is 216 cm²

Step-by-step explanation:

Given:

The volume of the cube = 216 cm³

Concept used:

All sides of a cube are equal.

Formula used:

The volume of the cube = a³

The total surface area of the cube = 6a²,

Where a is the side of the cube.

Calculation:

Let the side of the cube be a.

According to the question,

a³ = 216

⇒ a = (216)1/3

⇒ a = (6 × 6 × 6)1/3

⇒ a = (63)1/3

⇒ a = 6 cm

The total surface area of cube = 6 × 6²

⇒ 6 × 36

⇒ 216 cm²

∴ The total surface area of the cube is 216 cm²