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Roosh · Answer 1 · 2023-01-10T00:28:02+0000

The volume of a pyramid of base area B and height H is calculated as:

$V=(B\cdot H)/(3)$

The area of the base is calculated according to its shape. It could be a triangle, rectangle, square, etc.

The base of the given pyramid is a square of side length L = 7 cm. Note the tick marks on each side of the base, indicating all of them are congruent.

The area of the base is:

$\begin{gathered} B=L^2 \\ B=(7\text{ }\operatorname{cm})^2 \\ B=49cm^2 \end{gathered}$

Now calculate the volume of the pyramid with H = 16 cm:

$\begin{gathered} V=(49cm^2\cdot16cm)/(3) \\ V=261.3cm^3 \end{gathered}$

Choice C)

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