Mathematics, 03.10.2020 01:01, callmedarthvadorplz
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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
Answers: 3
![\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](/tpl/images/0787/0359/b0663.png)
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