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Chen M · Answer 1 · 2023-08-11T20:40:12+0000

Formula of the volume of a rectangular pyramid:

$V=(l\cdot w\cdot h)/(3)$

As you have the volume and the length and width of the base solve the equation above to h:

$\begin{gathered} 3V=l\cdot w\cdot h \\ (3V)/(l\cdot w)=h \\ \\ \\ h=(3V)/(l\cdot w) \end{gathered}$

Use the given data and caclulate the height:

$\begin{gathered} h=\frac{3(200cm^3)}{10\operatorname{cm}\cdot4\operatorname{cm}} \\ \\ h=(600cm^3)/(40cm^2) \\ \\ h=15\operatorname{cm} \end{gathered}$

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Then, the height of the given pyramid is 15 centimeters

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