Use the formula for the surface area of a square pyramid to find the surface area if the base edge length is 5 yards and the height is 25 yards. Round to the nearest whole number.
A. 151 square yards
B. 251 square yards
C. 1,298 square yards
D. 276 square yards
btw I got all the answers
1. 72.52 yd.^2
2. 276 square yards
3. 320 ft.^2
4. 55.75 in.^2
5. area of a triangle
Apologies for the confusion. In that case, based on the given answer choices, the closest approximate surface area to 584 square yards would be 276 square yards (answer D).
The surface area of a square pyramid formula is given by:
Surface Area = Base Area + (1/2) * Perimeter of Base * Slant Height
Given that the base edge length is 5 yards and the height is 25 yards, we can calculate the slant height using the Pythagorean theorem:
Slant Height = √(base edge length/2)^2 + height^2
= √(5/2)^2 + 25^2
= √(25/4) + 625
= √(625/4 + 625)
= √(625 + 2500)
= √3125
= 55.90 (rounded to two decimal places)
Now, we can substitute the values into the surface area formula:
Surface Area = (5^2) + (1/2) * 4 * 5 * 55.90
= 25 + 2 * 5 * 55.90
= 25 + 559
= 584
Rounding to the nearest whole number, the surface area of the square pyramid is 584 square yards.
Therefore, none of the provided answer choices are correct.