Question

Find the volume of wood required for making a closed Box with external measurements 14 cm by 9.5 cm by 6 cm and wood is 7.5 mm thick....

With full explanation...

Answer 1

1 answer · Mathematics

Best Answer

This is the same technique as for a picture frame

The outer edges enclose a larger rectangle and the inner edges enclose a smaller rectangle.

The key is to subtract the two areas.

This is the same except with volumes.

The outer volume is 17.5 x 14 x 10 cm^3 = 2450 cm^3

Assuming it is open on the top, the open space is (length - 2 * thickness) * (width - 2 * thickness) * ( height - thickness)

Notice 7.5 mm = 0.75 cm and 2 x 7.5 mm = 1.5 cm

Open space = (17.5 - 1.5 ) ( 14 - 1.5 ) (10 - 0.75) = 16 * 12.5 * 9.25 = 1850 cm^3

The volume of wood is 2450 - 1850 = 600 cm^3

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Answer 2

600 cm^3 is the volume of the wood. Hope it will help you

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