The amount of building material needed to cover the pyramid which Tony's architecture firm is constructing is 144 square feet.
What is area of triangle?
The area of the triangle is half of the product of base and height of the triangle. It can be calculated as,
[tex]A=\dfrac{1}{2}b\times h[/tex]
Here, b is the length of base, and h is the height.
Tony's architecture firm is constructing a square pyramid play structure for a school.
- The length of one side of the base will be 9 feet,
- Each face is a triangle with a height of 8 feet.
- The pyramid will be open at the bottom and not covered.
As the height of the triangle is 8 and base is 9 feet of triangle. Thus, the area of one triangular face is,
[tex]A=\dfrac{1}{2}\times9\times8\\A=36\rm\; ft^2[/tex]
Area of 4 triangle side is,
[tex]A=36\times4\\A=144\rm\; ft^2[/tex]
Thus, the amount of building material needed to cover the pyramid which Tony's architecture firm is constructing is 144 square feet.
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