1.

Find the volume, the lateral surface area and the total surface area of the cuboid whose dimensions are length = 24m, breadth = 25cm and height = 6m.

Answer»

It is given that length = 24m, breadth = 25cm = 0.25m and height = 6m

We know that

Volume of cuboid = l × b × h

By substituting the values we get

Volume of cuboid = 24 × 0.25 × 6

By multiplication

Volume of cuboid = 36 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 (24 + 0.25) × 6

On further calculation

Lateral surface area of a cuboid = 2 × 24.25 × 6

By multiplication

Lateral surface area of a cuboid = 291 m2

We know that

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

By substituting the values

Total surface area of cuboid = 2 (24 × 0.25 + 0.25 × 6 + 24 × 6)

On further calculation

Total surface area of cuboid = 2 (6 + 1.5 + 144)

So we get

Total surface area of cuboid = 2 × 151.5

By multiplication

Total surface area of cuboid = 303 m2



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