The formula to find the surface area of a triangular pyramid is:
Surface Area = Area of the base + Area of the lateral faces
First, let's find the area of the base. The base is a triangle, so we can use the formula for the area of a triangle:
Area of the base = (1/2) * base * height
Substituting the values given, we get:
Area of the base = (1/2) * 5 in. * 4.3 in. = 10.75 in^2
Now, let's find the area of the lateral faces. The lateral faces are triangles, and all three have the same dimensions (since it's a pyramid). So, we can find the area of one of them and multiply by 3:
Area of one lateral face = (1/2) * base * slant height
Substituting the values given, we get:
Area of one lateral face = (1/2) * 5 in. * 6 in. = 15 in^2
Since there are 3 lateral faces, the total area of the lateral faces is 3 * 15 in^2 = 45 in^2
Finally, we can find the surface area of the chocolate pyramid by adding the area of the base and the area of the lateral faces:
Surface Area = Area of the base + Area of the lateral faces
Surface Area = 10.75 in^2 + 45 in^2
Surface Area = 55.75 in^2
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. (1 p
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