The correct formula to find the surface area of a triangular pyramid is given by:
Surface Area = Base Area + (0.5 * Perimeter of Base * Slant Height)
In this case, the base is a triangle with a base length of 5 inches and a height of 4.3 inches.
Base Area = 0.5 * (base length) * (height)
Base Area = 0.5 * 5 * 4.3
Base Area = 10.75 square inches
Next, we need to calculate the perimeter of the base.
Perimeter of Base = 3 * (side length)
Perimeter of Base = 3 * 5
Perimeter of Base = 15 inches
Finally, we can substitute the values into the formula to find the surface area.
Surface Area = 10.75 + (0.5 * 15 * 6)
Surface Area = 10.75 + (0.5 * 90)
Surface Area = 10.75 + 45
Surface Area = 55.75 square inches
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 point )
1 answer