What is the lateral area of the square pyramid, to the nearest whole number?
(1 point)
Responses
165 m2
165 m 2
176 m2
176 m 2
330 m2
330 m 2
351 m2
The lateral area of a square pyramid is calculated by finding the area of the four triangular faces. Given that the base of the pyramid is a square, we can use the formula for the lateral area of a square pyramid:
L = 4s*h / 2
where s is the side length of the base of the square pyramid and h is the slant height of the pyramid.
If the slant height of the pyramid is 18.45 m and the side length of the base is 15 m, we can plug these values into the formula to find the lateral area:
L = 4 * 15 * 18.45 / 2
L = 1110 / 2
L = 555 m2
Therefore, the lateral area of the square pyramid is 555 m2, which is closest to 551 m2.