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Q.

A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and thickness of wood as 2.5 cm. The volume of the wood is


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a

    85,000 cm3

b

    80,000 cm3

c

    82,125 cm3

d

    84,000 cm3  

answer is C.

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Detailed Solution

Given, the inner measure of a wooden box as 115 cm, 75 cm and 35 cm.
Since the thickness of the box is 2.5 cm, then outer measures will be (115+5) cm, (75+5) cm and (35+5) cm i.e., 120 cm, 80 cm and 40 cm.
The formula for the volume of cuboid having length, breadth and height as l,b and h respectively is given by,
Volume of a cuboid =l×b×h So, after substituting the value of all the dimensions in the formula we get,
Outer volume = 120×80×40
= 38400 cm3 And the inner volume = 115×75×35
= 301875 cm3
Therefore, volume of the wood = outer volume - inner volume
= 34800-301875
=82125 cm3
Hence, option (3) is correct.
 
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