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???
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 Base Area:
The base of the pyramid is a square, so the area of the base = side^2
Base Area = 1.5 cm * 1.5 cm = 2.25 cm^2
Next, we need to find the perimeter of the base:
Perimeter of Base = 4 * side = 4 * 1.5 cm = 6 cm
Now, we can calculate the Surface Area:
Surface Area = 2.25 cm^2 + (0.5 * 6 cm * 4 cm) = 2.25 cm^2 + 12 cm^2 = 14.25 cm^2
Rounded to the nearest hundredth, the surface area of the pyramid is approximately 14.25 cm^2.
Its 14.04
Apologies, I made an error in my previous response. Let's recalculate it correctly.
The correct calculation is as follows:
The base area remains the same: Base Area = 1.5 cm * 1.5 cm = 2.25 cm^2.
The perimeter of the base remains the same: Perimeter of Base = 4 * 1.5 cm = 6 cm.
Now, we can calculate the Surface Area: Surface Area = 2.25 cm^2 + (0.5 * 6 cm * 4 cm) = 2.25 cm^2 + 12 cm^2 = 14.25 cm^2.
Rounded to the nearest hundredth, the surface area of the pyramid is approximately 14.25 cm^2, not 14.04 cm^2.