To find the surface area of a triangular pyramid, you need to find the area of the base and the area of the triangular faces.
The formula for the area of a triangular pyramid is:
Surface Area = Area of Base + Area of Triangular Faces
The area of the base of a triangular pyramid is found by multiplying the base length and the height of the base and dividing by 2.
Area of Base = (length of base * height of base) / 2
Plugging in the values given:
Area of Base = (5 * 4.3) / 2 = 21.5 square inches
Now, let's find the area of the triangular faces. Since the slant height is given, we can use the formula for the area of a triangle:
Area of a Triangle = (base length * height) / 2
Plugging in the values given:
Area of Triangular Faces = (5 * 6) / 2 = 15 square inches
Now, we can find the surface area by adding the area of the base and the area of the triangular faces:
Surface Area = Area of Base + Area of Triangular Faces
Surface Area = 21.5 + 15 = 36.5 square inches
Therefore, the surface area of the chocolate pyramid is 36.5 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 4.3in and the slant height is 6 in. Use the correct formula to find the surface area of the chocolate pyramid
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1 answer