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:

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.

Answer 2

First, you need to find the length of the smaller cubes side. To do this you would need to find the square root of 0.25. then you find the volume with the new found side length of the smaller cube by cubing the new side length and once you have your volume of smaller cube right it down.
Now you need to find the big cube volume by cubing its side length. Once you have found both of these volumes you subtract the smaller cube's volume from the bigger cube's volume to get the difference in size. Hope this helps