heyitsmicheller heyitsmicheller

06-07-2018
Mathematics

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A rectangular prism has a volume of 300 ft3. If the base measures 5 ft by 8 ft, what is the height of the prism?

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Hannah1turner Hannah1turner

06-07-2018

The height of the prism is 7.5 feet

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jdoe0001 jdoe0001

06-07-2018

[tex]\bf \textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=length\\ w=width\\ h=height\\ ------\\ V=300\\ L=8\\ w=5 \end{cases}\implies 300=(8)(5)h \\\\\\ \cfrac{300}{(8)(5)}=h\implies \cfrac{15}{2}=h[/tex]

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