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**A closed box is made of 2 cm thick wood with an external dimension 84 cm × 75 cm × 64 cm. Find the volume of the wood required to make the box.**

Answer:

Given,

The thickness of the wood used in a closed box = 2 cm

External length of box (L) = 84 cm

Breadth (b) = 75 cm and height (h) = 64 cm

So, internal length (l) = 84 – (2 × 2)

= 84 – 4

= 80 cm

Breadth (b) = 75 – (2 × 2)

= 75 – 4

= 71 cm

and height (h) = 64 – (2 × 2)

= 64 – 4

= 60 cm

Hence, Volume of wood used = 84 × 75 × 64 – 80 × 71 × 60 cm^{3}

= 403200 – 340800 cm^{3}

= 62400 cm^{3}

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