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Question
If each edge of a cube, of volume V, is doubled, then the volume of the new cube is
Options
2 V
4 V
6 V
8 V
Solution
Let, a → Initial edge of the cube
So, V = a3
In the new cube, let,
a' → Edge of new cube
Volume of the new cube,
V' = (a')3
= (2a)3 {Since , a'= 2a}
= 8a3
=8V {Since , a3= V }
Volume of the new cube is 8V .
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