Question

Find the volume, the lateral surface area, the total surface area and the diagonal of a cube, each of whose edges measures 9m. (Take √3 = 1.73)

Answer 1

It is given that each edge of a cube = 9m

We know that

Volume of cube = a³

By substituting the values

Volume of cube = 9³

So we get

Volume of cube = 729 m³

We know that

Lateral surface area of cube = 4a²

By substituting the values

Lateral surface area of cube = 4 × 9²

So we get

Lateral surface area of cube = 4 × 81 = 324 m²

We know that

Total surface area of cube = 6a²

By substituting the values

Total surface area of cube = 6 × 9²

So we get

Total surface area of cube = 6 × 81 = 486 m²

We know that

Diagonal of cube = √3 a

By substituting the values

Diagonal of cube = 1.73 × 9 = 15.57 m

Therefore, the volume is 729 m³, lateral surface area is 324 m², total surface area is 486 m² and the diagonal of cube is 15.57 m.