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.