Question

b. find the surface area of the pyramid in square units. type your answer in the box. square units show your reasoning. draw on the image. select t to type.

Explanation:

Since no information about the dimensions of the pyramid (such as base - side lengths, slant - heights) is given, we cannot calculate a numerical answer. But the general steps to find the surface area of a pyramid are as follows:

Step1: Identify the base area

If the base of the pyramid is a square with side length $s$, the base - area formula is $A_{base}=s^{2}$. If it is a triangle with base $b$ and height $h$, the base - area formula is $A_{base}=\frac{1}{2}bh$.

Step2: Identify the area of the lateral faces

For a square - based pyramid with base side length $s$ and slant height $l$, the area of each triangular lateral face is $A_{lateral}=\frac{1}{2}sl$. If there are $n$ lateral faces, the total lateral - area $A_{lateral - total}=n\times\frac{1}{2}sl$.

Step3: Calculate the surface area

The surface area $A$ of a pyramid is the sum of the base area and the total lateral area, i.e., $A = A_{base}+A_{lateral - total}$.

Answer:

Without specific dimensions of the pyramid, we cannot give a numerical answer. The general formula for the surface area of a pyramid is $A = A_{base}+A_{lateral - total}$, where $A_{base}$ is the area of the base and $A_{lateral - total}$ is the total area of the lateral faces.