A wooden box (including the lid) has external dimensions of 40cm by 34cm by 30cm. If the wood is 1 cm thick, how many cm³ of wood are there in it?

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Solution

Outer length = 40cm
Outer breadth = 34cm
Outer height = 30 cm
âˆ´Outer volume of the box = 40 cm Ã— 34 cm Ã— 30 cm
= 40800 cm³
Thickness = 1 cm
âˆ´Inner length = 40 cm - 1 cm = 39 cm
Inner breadth = 34 cm - 1 cm = 33 cm
Inner height = 30 cm - 1 cm = 29 cm
âˆ´Inner volume of the box = 39 cm Ã— 33 cm Ã— 29 cm
= 37323 cm³
âˆ´Volume of wood = 40800 cm³ -37323 cm³
= 3477 cm³

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A wooden box (including the lid) has external dimensions of 40cm by 34cm by 30cm. If the wood is 1 cm thick, how many cm3 of wood are there in it?

A wooden box (including the lid) has external dimensions of 40cm by 34cm by 30cm. If the wood is 1 cm thick, how many cm³ of wood are there in it?