Question

Parker is designing a piece of artwork for a hotel. The artwork is in the shape of a square pyramid as shown. He wants to cover the pyramid with decorative glass. Use a net to find how many square feet of glass he needs to cover the entire pyramid.

Answer 1

We need to calculate the surface area of the square pyramid

In a square pyramid we 5 faces one is a square and the other for are triangles

for the area of the square

`A_S=l* l`

l=6.7 ft

`\begin{gathered} A_S=6.7*6.7 \\ A_S=44.89ft^2 \end{gathered}`

for the area of one triangle

`A_T=(b* h)/(2)`

where

b=6.7ft

h=6 ft

`\begin{gathered} A_T=(6.7*6)/(2) \\ A_T=20.1ft^2 \end{gathered}`

The surface area is

`\begin{gathered} SA=A_S+4(A_T) \\ SA=44.89+4(20.1) \\ SA=44.89+80.4 \\ SA=125.29ft^2 \end{gathered}`

He needs 125.29 ft^2 of glass to cover the entire pyramid