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)
The surface area of a square pyramid can be calculated using the formula:
Surface area = base area + (0.5 * perimeter of base * slant height)
First, let's calculate the perimeter of the base square:
Perimeter = 4 * side length
Perimeter = 4 * 1.5 cm
Perimeter = 6 cm
Now, plug in the values into the formula:
Surface area = 1.5 cm * 1.5 cm + (0.5 * 6 cm * 4 cm)
Surface area = 2.25 cm^2 + 12 cm^2
Surface area = 14.25 cm^2
Therefore, the surface area of the square pyramid is approximately 14.25 square centimeters.