Question

The volume of a cube is 1.5 m3. Find the length of its edge to the nearest tenth of a meter.

Answer 1

Given:

Volume of a cube = 1.5 m³

To find:

The length of its edge to the nearest tenth of a meter.

Solution:

Let a be the length of its edge.

We know that, volume of a cube is

`V=a^3`

where, a is edge.

Volume of a cube = 1.5 m³

`a^3=1.5`

Taking cube root on both sides, we get

`a=\sqrt[3]{1.5}`

`a=1.14471424`

Approximate the value to the nearest tenth (one decimal place) of a meter.

`a\approx 1.1`

Therefore, the length of the edge of the cube is about 1.1 meters.