Question

Each face of a small cube has a surface area of 0.25 square meters. A larger cube has edges that are six times as long as the edges of the small cube. What is the volume of the larger cube?

Answer 1

Answer: 27m cubed

Explanation:

Answer 2

The volume of the larger cube is 27 cubic meter.

Explanation:

Given : Each face of a small cube has a surface area of 0.25 square meters. A larger cube has edges that are six times as long as the edges of the small cube.

To find : What is the volume of the larger cube?

Solution :

Each face of a small cube has a surface area of 0.25 square meters.

The surface area of each face of cube is
`SA=a^2`

`0.25=a^2`

`a=√(0.25)`

`a=0.5`

A larger cube has edges that are six times as long as the edges of the small cube.

i.e.
`A=6a`

The edge of larger cube is
`A=6(0.5)=3`

The volume of larger cube is
`V=A^3`

`V=(3)^3`

`V=27\ m^3`

Therefore, the volume of the larger cube is 27 cubic meter.