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?

27 m^3

Step-by-step explanation:

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.

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step-by-step explanatio89