Question

Question 93

If the length of each edge of a cube is tripled, what will be the change in its volume?

Answer 1

Let the edge of a cube be a.
If edge of the cube became tripled ie. $a=3\times a=3a$
$\because$ Volume of the cube $=a^3$
$\therefore$ Volume of the cube with edge tripled $=(3a{)}^3=27a^3$
Hence, volume is 27 times of the original volume.