A wooden crate in the shape of a cube has a volume of 127 cubic foot.How many cubic blocks of side length 16 foot are required to find the volume of the crate?A. 4B. 8C. 12D. 16E. 20
Accepted Solution
A:
ANSWERB. 8EXPLANATIONVolume of wooden crate is[tex] \frac{1}{27} {ft}^{3} [/tex]The cubic blocks have side length,[tex]l = \frac{1}{6} ft[/tex]The volume of each cubic blocks is,[tex]v = {l}^{3} [/tex][tex] = ( \frac{1}{6} )^{3} = \frac{1}{216} [/tex]Number of blocks that can go into the crate is,[tex] = \frac{ \frac{1}{27} }{ \frac{1}{216} } [/tex][tex] = \frac{1}{27} \times \frac{216}{1} [/tex][tex] = 8 \: blocks[/tex]