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