SpiningCircle
SpiningCircle SpiningCircle
  • 24-05-2022
  • Mathematics
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What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 18 cm?

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jdoe0001 jdoe0001
  • 24-05-2022

Check the picture below.

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3} ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{18\times 18}{324}\\ h=18 \end{cases}\implies V=\cfrac{(324)(18)}{3}\implies V=1944~cm^3[/tex]

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