Question

The dimensions of an open box are 50 cm, 40 cm and 23 cm. It's thickness is 3 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box.

Answer 1

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Answer 2

Given,

Outer dimensions of the box = 50 cm, 40 cm and 23 cm

Outer volume of the box = 50 × 40 × 23 = 46000 cu cm

Inner dimensions of the box:

Length = (50 - 2×3) = 44 cm

Breadth = (40 - 2×3) = 34 cm

Height = (23 - 30 = 20 cm

Inner volume of the box = 44 × 34 × 20 = 29920 cu cm

Volume of the wood = Outer Volume - Inner Volume = 46000 - 29920 =
16080 cu cm

Weight of the wood per cu cm = 0.5 g

Weight of the wood used for making the box = 16080 × 0.5 = 8040 g = 8.04 kg.