Question

A wooden box of 2 cm thickness has inner measurements 6 cm long 2 cm breath and 1 cm height. The volume of the wood in the box is

Answer 1

$\textbf {Hey there, here is the solution.}$

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STEP 1: Find the inner volume of the box:

Volume = Length x Breadth x Height

Volume = 6 x 2 x 1 = 12 cm³

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STEP 2: Find the outer volume and the volume of the wood:

Since the thickness of the wood is 2cm, we add 2 cm to each side of the wood. Therefore we add 4 cm to every inner dimension.

Length = 6 + 2 + 2 = 10 cm

Breadth = 2 + 2 + 2 = 6 cm

Height = 1 + 2 + 2 = 5 cm

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Volume = 10 x 6 x 5 = 300 cm³

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Step 3: Find the volume of the wood:

Volume of the wood = 300 - 12 = 288 cm³

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Answer: The volume is 288 cm³

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$\textbf {Cheers}$