The dimensions of an open box are 50 cm, 40 cm, and 23 cm. It's tckness is 3 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box.
A. 6.2 kg
B. 12 kg
C. 7.99 kg
D. 8.04 kg
Answer is D. How?
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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.
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.
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