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Question

External dimensions of a wooden cuboid are 30 cm, 25 cm and 20 cm. If the thickness of the wood is 2 cm all around, find the volume of the wood contained in the cuboid formed.


A

6236 cm3

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B

6364 cm3

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C

5264 cm3

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D

6264 cm3

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Solution

The correct option is D

6264 cm3


External length of cuboid = 30 cm

External breadth of cuboid = 25 cm

External height of cuboid = 20 cm.

External volume of cuboid =(30×25×20)=15000 cm3

The thickness of the wood is 2 cm all around. So, length =(30 - 4) = 26 cm. Similarly, breadth = 21 cm and height = 16cm.

The internal volume of the cuboid = (21×26×16)=8736 cm3

Volume of the wood
= External volume - internal volume
= (150008736)=6264 cm3


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