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Question
A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and thickness of wood as 2.5 cm. The volume of the wood is ______.
Options
85,000 cm3
80,000 cm3
82,125 cm3
84,000 cm3
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Solution
A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and thickness of wood as 2.5 cm. The volume of the wood is 82,125 cm3.
Explanation:
Given, inner measures of a wooden box as 115 cm, 75 cm and 35 cm.
Since, thickness of the box is 2.5 cm, then outer measures will be 115 + 5, 75 + 5 and 35 + 5, i.e. 120 cm, 80 cm and 40 cm.
∴ The outer volume = 120 × 80 × 40 = 384000 cm3
And the inner volume = 115 × 75 × 35 = 301875 cm3 ...[∵ Volume of cuboid = l × b × h]
∴ Volume of the wood = Outer volume – Inner volume
= 384000 – 301875
= 82125 cm3
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