Use a formula to find the surface area of the square pyramid.
Item 1
Item 2
Item 3
Item 4
3 ft
3 ft
drawing not to scale
(1 point)
• 45 ft2
0 81 42
O 36 ft2
0 72 #2
The surface area of a square pyramid can be found using the formula:
Surface Area = Base Area + 1/2 * Perimeter of Base * Slant Height
Since the base of the pyramid is a square with side length 3 ft, the base area is:
Base Area = side length^2 = 3^2 = 9 ft^2
The perimeter of the base is the sum of all four sides:
Perimeter = 4 * side length = 4 * 3 = 12 ft
The slant height is the height of the triangle formed by the base and the apex of the pyramid. Since the apex is formed by extending the lateral edges to meet at a single point, this slant height is also the height of the pyramid. In this case, it is given as 4 ft.
Now, plug in these values into the formula:
Surface Area = 9 + 1/2 * 12 * 4
Surface Area = 9 + 1/2 * 48
Surface Area = 9 + 24
Surface Area = 33 ft^2
Therefore, the surface area of the square pyramid is 33 ft^2.