tonytime1126
tonytime1126 tonytime1126
  • 03-04-2017
  • Mathematics
contestada

what is the height of a square pyramid with a volume of 75 cubic feet and base length of 5 feet

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jdoe0001 jdoe0001
  • 03-04-2017
so hmm notice the picture below

is a "square" pyramid, thus, the base is a square, all sides are the same

now, we know the volume is 75 and one side is 5

thus [tex]\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}\cdot Base\cdot height\qquad \begin{cases} Base=length\cdot width\\ \qquad\qquad 5\cdot 5=25\\ V=75 \end{cases}\\\\\\ 75=\cfrac{1}{3}\cdot 25\cdot h[/tex]

solve for "h" or height
Ver imagen jdoe0001
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joshuabarnes135 joshuabarnes135
  • 03-04-2017
the height of the pyramid is 9 feet

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