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Question

The internal length, breadth and height of a closed box are 1 m, 80 cm and 25 cm respectively. If its sides are made of 2.5 cm thick wood, then find the volume of wood used to make the box.

A
0.02475m3
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B
0.06775m3
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C
0.03975m3
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D
0.07525m3
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Solution

The correct option is B 0.06775m3
Given,
The internal length, breadth and height of a closed box are 1m=100cm,80cm and 25cm respectively.
As its sides are made of 2.5cm , the external length, breadth and height of the closed box are 100+2(2.5)=105cm,80+2(2.5)=85cm and 25+2(2.5)=30cm respectively.
Now, volume of wood used to make the box = Volume with the external dimensions Volume with the internal dimensions
=> Volume of wood used to make the box =(105×85×30)(100×80×25)=267750200000=67750cucm=0.06775m3

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