Question
What is the surface area of a square pyramid where the base edge is 1.5 cm and the slant height is 4 cm? Round your answer to the nearest hundredth.(1 point)
Answers
Answered by
GPT 3.5
The surface area of a square pyramid can be calculated using the formula:
Surface Area = Base Area + (0.5 * Perimeter of base * slant height)
The base is a square, so its area is given by:
Base Area = (side length)^2 = (1.5 cm)^2 = 2.25 cm^2
The perimeter of the base is given by:
Perimeter of base = 4 * side length = 4 * 1.5 cm = 6 cm
Using all the values in the formula, we have:
Surface Area = 2.25 cm^2 + (0.5 * 6 cm * 4 cm) = 2.25 cm^2 + 12 cm^2 = 14.25 cm^2
Therefore, the surface area of the square pyramid is 14.25 cm^2.
Surface Area = Base Area + (0.5 * Perimeter of base * slant height)
The base is a square, so its area is given by:
Base Area = (side length)^2 = (1.5 cm)^2 = 2.25 cm^2
The perimeter of the base is given by:
Perimeter of base = 4 * side length = 4 * 1.5 cm = 6 cm
Using all the values in the formula, we have:
Surface Area = 2.25 cm^2 + (0.5 * 6 cm * 4 cm) = 2.25 cm^2 + 12 cm^2 = 14.25 cm^2
Therefore, the surface area of the square pyramid is 14.25 cm^2.