Question

The volume of a cube is 216cm³. If the length of a edge is increased by two times, what should be the volume of a new cube? How many times the volume will increase?

Answer 1

V=216cm
Volume of a cube = a^3
Where a is the length of the edge
Volume of the new cube=(2a)^3=8a^3
=8*216=1728
The volume will increase by 8 times

Answer 2

Step-by-step explanation:

Let the edge of cube = x

\begin{gathered}given \\ {x}^{3} = 216 \\ x = \sqrt[3]{216} \\ x = 6cm \\ \\ inceasing \: side \: by \: 2 \: times \\ side \: = 2 \times 6 = 12cm \\ volume \: of \: new \: cube \: = {12}^{3} \\ = 1728 {cm}^{3} \\ \\ now \\ \frac{1728}{216} = 8\end{gathered}

given

x

3

=216

x=

3

216

x=6cm

inceasingsideby2times

side=2×6=12cm

volumeofnewcube=12

3

=1728cm

3

now

216

1728

=8