Question

if this is question can be answered as soon as possible that would be spending

Answer 1

For this problem we are given the dimensions of a square pyramid and we need to determine its surface area.

The surface area of the pyramid can b found with the following expression:

$A_{surface}=A_{base}+4\cdot A_{lateral}$

Where Abase is the area of the square and Alateral is the area of a triangular face. We have:

$\begin{gathered} A_{base}=3\cdot3=9\text{ square inches}\\ \\ A_{lateral}=\frac{3\cdot5}{2}=7.5\text{ square inches} \end{gathered}$

The surface area is:

$A_{surface}=9+4\cdot7.5=9+30=39\text{ square inches}$

The correct answer is C.