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Answer:
Surface area of pyramid with base equilateral triangle is square inches
Step-by-step explanation:
Recall the following result:
The total surface area(S) of a regular pyramid is given by,
...... (1)
Here, p represents the perimeter of the base , the slant height and B the base area of the pyramid.
From the given information:
Side of equilateral triangle = 20 inches
Slant height of the pyramid() = 13 inches.
First find the perimeter and Area of the base pyramid.
Perimeter of equilateral triangle(p) =
=
Area of equilateral triangle(B) =
= square inches.
Substitute the above values in equation (1) as shown below:
square inches
Hence, the surface area of pyramid with base equilateral triangle is square inches.