The volume of a cube is given by the formula s^3, where s is the length of a side. If a cube has a volume of 64, and the length of each side is halved, the new cube's volume will be A. 3 B. 6 C. 8 D. 16 E. 32
[tex] \because \: {s}^{3} = 64 \\ s = \sqrt[3]{64} \\ s = 4 \\ side \: of \: cube = 4 \: units \\ when \: side \: is \: halved \\ new \: side \: length = \frac{4}{2} = 2 \\ \: new \: volume = {2}^{3} = 8 \: cubic \: units[/tex]
