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 SA=a^2
0.25=a^2
a=sqrt (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.
