Question

10.If one side of a cube is doubled, then by what % does the volume of the

corresponding cube increase?​

Answer 1

Volume of the original cube = a^3

Volume of the cuboid so formed = a × a × 2a =2a^3

Increase in volume = 2a^3 - a^3 = a^3

Therefore % increase in volume

$= \frac{ {a}^{3} \times 100}{100} \% \\ = 100\% \: \: \: \: \: \: \: \: \: \: \: \: \:$