Question

Find the surface area of a rectangular pyramid with these measurements: l
= 15 m, w
= 12 m, and h
= 10 m. Express your answer as a decimal rounded to the nearest hundredth.(1 point)
___ m2

Answer 1

Surface area = base + lateral faces = lw + l*sqrt(h^2+(w/2)^2) + w*sqrt(h^2+(l/2)^2).

Here s1 = sqrt(10^2 + 6^2) = sqrt(136) ≈ 11.66190379, s2 = sqrt(10^2 + 7.5^2) = 12.5.

SA = 180 + 15(11.66190379) + 12(12.5) ≈ 504.92855684 ≈ 504.93 m^2.