Question

A cube has a volume of 8 cubic meters. if each side is doubled in length what will its new volume be in cubic meters

Answer 1

the side is
$\sqrt[3]{8}$
that is 2m.
if it is doubled the length of the side is 4m
the volume is
${4}^{3}$
that is equal to
$64$
the answer is
$64 {m}^{3}$

Answer 2

Given:

The volume of the cube is eight cubic meters.

To find:

The new volume of the cube with side doubled in length.

Solution:

The formula for the volume of a cube = ( side)³

Therefore,

(Side)³ = 8 m³

Side= ∛8

Side = 2 meters.

Now, the side of the cube is double in length.

Therefore, the new side= 2× 2= 4 meters

The volume of the cube with side as 4 m = (4)³ cubic meters.

= 64 m³

The new volume of the cube is 64 m³.