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Question
The side of a cube is 4 m. If it is doubled, how many times will be the volume of the new cube, as compared with the original cube?
Options
Two times
Three times
Four times
Eight times
MCQ
Solution
Eight times
Explanation:
The volume of a cube is given by:
Volume = side3
Original Cube:
The side of the original cube = 4m.
Volume of original cube = 43
= 64 m3
New Cube:
If the side is doubled, the new side = 2 × 4 = 8
Volume of new cube = 83
521 m3
Ratio of volumes = `"Volume of new cube"/"Volume of original cube"`
= `512/64`
= 8
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