Question

Use the surface area of a pyramid to solve this problem. Show your work. Rebecca decides to make her pyramid model much larger, so the length of each edge of the base is 60 in. And the height of each triangular face is 50 in. What is the surface area of this large pyramid.

Answer 1

Given

The length of each edge of the base of pyramid is 60 in.

The height of triangular face is 50 in.

Explanation

To find the total surface area of large pyramid,

Draw the figure of pyramid.

The total surface area of triangular pyramid is equal to the sum of the surface area of square base and surface area of 4 triangular faces.

Find the surface area of square base.

$60\times60=3600in^2$

Find the surface area of triangular face ,

$\begin{gathered} \frac{1}{2}\times base\times height=\frac{1}{2}\times60\times50 \\ \frac{1}{2}\times60\times50=1500in^2 \end{gathered}$

As there are four triangular faces.

$1500\times4=6000in^2$

Now the total surface area of pyramid is

$3600+6000=9600in^2$

Answer

Hence the total surface area of pyramid is 9600 sq.in.