Question

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A square pyramid has a base side measurement of 6 centimeters and a slant height of 12 centimeters. Find the volume of the pyramid. Round your answer to the nearest hundredth.

Answer 1

Check the picture below.

`\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3} ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{6* 6}{36}\\ h=√(135) \end{cases}\implies V=\cfrac{36√(135)}{3}\implies V\approx 139.43~cm^2`