Question

Find the volume, the lateral surface area and the total surface area of the cuboid whose dimensions are length = 26m, breadth = 14m and height = 6.5m.

Answer 1

It is given that length = 26m, breadth = 14m and height = 6.5m

We know that

Volume of cuboid = l × b × h

By substituting the values we get

Volume of cuboid = 26 × 14 × 6.5

By multiplication

Volume of cuboid = 2366 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 (26 + 14) × 6.5

On further calculation

Lateral surface area of a cuboid = 2 × 40 × 6.5

By multiplication

Lateral surface area of a cuboid = 520cm²

We know that

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

By substituting the values

Total surface area of cuboid = 2 (26 × 14 + 14 × 6.5 + 26 × 6.5)

On further calculation

Total surface area of cuboid = 2 (364 + 91 + 169)

So we get

Total surface area of cuboid = 2 × 624

By multiplication

Total surface area of cuboid = 1248 m²