To find the volume of a cube, we use the formula:
[tex]\[ V = s^3 \][/tex]
where [tex]\( s \)[/tex] is the side length of the cube.
(a) Volume of a cube with side length 17.7 cm:
1. Identify the side length of the cube:
[tex]\[ s = 17.7 \, \text{cm} \][/tex]
2. Apply the formula to calculate the volume:
[tex]\[ V = (17.7)^3 \][/tex]
3. The volume is:
[tex]\[ V = 5545.232999999999 \, \text{cm}^3 \][/tex]
(b) Volume of a cube with side length 23.7 m:
1. Identify the side length of the cube:
[tex]\[ s = 23.7 \, \text{m} \][/tex]
2. Apply the formula to calculate the volume:
[tex]\[ V = (23.7)^3 \][/tex]
3. The volume is:
[tex]\[ V = 13312.052999999998 \, \text{m}^3 \][/tex]
Therefore, the volumes for the given side lengths are:
- For 17.7 cm, the volume is approximately [tex]\( 5545.232999999999 \)[/tex] cubic centimeters.
- For 23.7 m, the volume is approximately [tex]\( 13312.052999999998 \)[/tex] cubic meters.
