Question

Find the volume, the lateral surface area and the total surface area of the cuboid whose dimensions are length = 15m, breadth = 6m and height = 5dm.

Answer 1

It is given that length = 15m, breadth = 6m and height = 5dm = 0.5m

We know that

Volume of cuboid = l × b × h

By substituting the values we get

Volume of cuboid = 15 × 6 × 0.5

By multiplication

Volume of cuboid = 45 m³

We know that

Lateral surface area of a cuboid = 2 (l + b) × h

By substituting the values

Lateral surface area of a cuboid = 2 (15 + 6) × 0.5

On further calculation

Lateral surface area of a cuboid = 2 × 21 × 0.5

By multiplication

Lateral surface area of a cuboid = 21 m²

We know that

Total surface area of cuboid = 2 (lb + bh + lh)

By substituting the values

Total surface area of cuboid = 2 (15 × 6 + 6 × 0.5 + 15 × 0.5)

On further calculation

Total surface area of cuboid = 2 (90 + 3 + 7.5)

So we get

Total surface area of cuboid = 2 × 100.5

By multiplication

Total surface area of cuboid = 201 m²