the rectangular pyramid measurements are:
10m, base 18m, height and the angle is 5 the suare root of 3 and were findind the surface area
(1 point)
Responses
800 m2
800 m2
775 m2
775 m2
810 m2
810 m2
740 m2
740 m2
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To find the surface area of a rectangular pyramid, you first need to calculate the area of the base and the area of the four triangular faces.
Area of the base: (10m)(18m) = 180 m2
Height of the triangular faces: 18m * sin(5√3) ≈ 18m * 0.855 = 15.39m
Area of each triangular face: (1/2)(10m)(15.39m) = 76.95 m2
Total area of all four triangular faces: 4 * 76.95 m2 = 307.8 m2
Surface area of the rectangular pyramid: 180 m2 + 307.8 m2 = 487.8 m2
Therefore, the closest option listed is 775 m2.