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?

Respuesta :

Answer:

The volume of the larger cube is 27 cubic meter.

Step-by-step 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 [tex]SA=a^2[/tex]

[tex]0.25=a^2[/tex]

[tex]a=\sqrt{0.25}[/tex]

[tex]a=0.5[/tex]

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

i.e. [tex]A=6a[/tex]

The edge of larger cube is [tex]A=6(0.5)=3[/tex]

The volume of larger cube is [tex]V=A^3[/tex]

[tex]V=(3)^3[/tex]

[tex]V=27\ m^3[/tex]

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

ACCESS MORE