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Question
A wooden box (including the lid) has external dimensions 40 cm by 34 cm by 30 cm. If the wood is 1 cm thick, how many cm3 of wood is used in it?
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Solution
External dimensions of wooden box are 40 cm × 34 cm × 30 cm.
Since, the wood is 1 cm thick, it means the internal dimensions will be (40 – 2) cm × (34 – 2) cm × (30 – 2) cm = 38 cm × 32 cm × 28 cm
∴ Wood used for the box = Volume of the wooden box with external dimensions – Volume of the wooden box with internal dimensions
= 40 × 34 × 30 – 38 × 32 × 28
= 40800 – 34048
= 6752 cm3
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