Question

The sum of the lengths of all the edges of a cube is 6 cm. What is the volume of the cube, in cubic centimeters?

Answer 1

It is given that the sum of the lengths of all the edges of a cube is $6$ cm and we know that a cube has $12$ edges, therefore, the side of the cube is:

$s=\frac{6}{12}=\frac{1}{2}=0.5$

Now, the volume of the cube is $s^3$ where $s$ is the side of the cube. Thus, with side $0.5$ cm, the volume of the cube is:

$V=s^3=(0.5{)}^3=0.125$ cm${}^3$

Hence, the volume of the cube is $0.125$ cm${}^3$.