The correct formula to find the surface area of a triangular pyramid is:
Surface Area = area of base + (1/2 x perimeter of base x slant height)
First, calculate the area of the base triangle:
Area of base = (1/2 x base x height)
Area of base = (1/2 x 5 in x 4.3 in)
Area of base = 10.75 sq. in.
Next, calculate the perimeter of the base triangle:
Perimeter of base = 5 in + 5 in + 5 in
Perimeter of base = 15 in
Now, plug these values into the formula:
Surface Area = 10.75 sq.in + (1/2 x 15 in x 6 in)
Surface Area = 10.75 sq.in + 45 sq.in
Surface Area = 55.75 sq.in
Therefore, the surface area of the chocolate pyramid is 55.75 square inches.
A pastry chef is creating a chocolate dessert in the shape of a triangular pyramid. The pyramid has a base of 5 in., the height of the base is 4.3 in., and the slant height is 6 in. Use the correct formula to find the surface area of the chocolate pyramid.
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