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. (1 point)
• 251 square yards
• 276 square yards
• 151 square yards
• 1,298 square yards
The formula for the surface area of a square pyramid is:
Surface Area = base area + lateral area
The base area of a square pyramid is simply the area of the square base, which can be found by squaring the length of one of its sides:
Base Area = (base edge length)^2 = (5 yards)^2 = 25 square yards
The lateral area of a square pyramid can be found by multiplying the base edge length by the slant height and dividing by 2:
Lateral Area = (base edge length)(slant height)/2 = (5 yards)(25 yards)/2 = 125 square yards
Therefore, the surface area of the square pyramid is:
Surface Area = Base Area + Lateral Area = 25 square yards + 125 square yards = 150 square yards
Rounding to the nearest whole number, the surface area of the square pyramid is approximately 151 square yards. Therefore, the correct answer is:
• 151 square yards