The surface area of a triangular pyramid can be calculated using the formula:
Surface Area = Base Area + (0.5 × Perimeter × Slant Height)
In this case, the base area can be calculated by using the formula for the area of a triangle:
Base Area = (0.5 × base length × height)
Using the given measurements:
Base Length = 5 inches
Height of the base = 4.3 inches
Slant Height = 6 inches
Base Area = (0.5 × 5 inches × 4.3 inches) = 10.75 square inches
Now, we can calculate the surface area using the formula:
Surface Area = 10.75 square inches + (0.5 × perimeter × 6 inches)
To find the perimeter, we need to add the three sides of the base together:
Perimeter = 5 inches + 5 inches + 5 inches = 15 inches
Surface Area = 10.75 square inches + (0.5 × 15 inches × 6 inches)
Surface Area = 10.75 square inches + (0.5 × 90 square inches)
Surface Area = 10.75 square inches + 45 square inches
Surface Area = 55.75 square inches
Therefore, the correct answer is D. 55.75.
A pastry chef is creating a chocolate dessert in the shape of a triangular pyramid. The pyramid has a base of 5 inches and the height of the base is 4.3 inches and the slant height is 6 inches use the correct formula to find the surface area of the chocolate pyramid.
A. 52.25
B. 58.25
C. 47.25
D. 55.75
1 answer
1 answer