To find the volume of a cube, we use the formula:
\(\[ V = a^3 \]\)
where:
- \(\( V \)\) is the volume of the cube, and
- \(\( a \)\) is the length of an edge of the cube.
In this case, the edge length (\(\( a \)\)) is given as 7 cm. Hence, to find the volume, we will raise the edge length to the power of 3:
\(\[ V = 7^3 \]\)
\(\[ V = 7 \times 7 \times 7 \]\)
\(\[ V = 49 \times 7 \]\)
\(\[ V = 343 \]\)
Therefore, the volume of the cube with edge lengths of 7 cm is \(\( 343 \)\) cubic centimeters (cm³).
