Mathematics
A cubical wooden box of internal edge 1 m is made of 5 cm thick wood. The box is open at the top. If the wood costs ₹9600 per cubic metre, find the cost of the wood required to make the box.
Mensuration
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Answer
Given,
Internal edge of cubical wooden box = 1 m
Thickness of wood = 5 cm = 0.05 m
We know that,
External length = (1 + 0.05 × 2) = 1.1 m
Breadth = (1 + 0.05 × 2) = 1.1 m
Height = (1 + 0.05) = 1.05 m
By formula,
Volume of the wood used = Outer volume – Inner volume
Substituting the values we get,
Volume of the wood used = 1.1 × 1.1 × 1.05 – 1 × 1 × 1
= 1.2705 – 1
= 0.2705 m3
Cost of 1 m2 of wood = ₹9600
So, the cost of 0.2705 m2 of wood = ₹9600 × 0.2705
= ₹2596.80.
Hence, cost of wood required to make the box = ₹2596.80
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