Question

ASAAHLcongremeror vingName thequadrilaName thethe crancyABCA'B'C'What is the surface area of the regularpyramid?3114 ftA=3f3 ftA 17 ft²B 24 ft²3 ftC 33 ft²D 36 ft²

Answer 1

Surface area:

$S=L+B$

1. Find the Lateral area:

$\begin{gathered} L=\frac{1}{2}Pl \\ \\ P=3ft+3ft+3ft+3ft=12ft \\ L=\frac{1}{2}(12ft)(4ft)=24ft^2 \end{gathered}$

2. Find the area of the base:

$\begin{gathered} B=3ft*3ft \\ B=9ft^2 \end{gathered}$

3. Sum L and B to find the surface area:

$\begin{gathered} S=L+B \\ S=24ft^2+9ft^2 \\ S=33ft^2 \end{gathered}$

Then, the surface area of the given pyramid is 33 square feet

Answer: C