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

Base area = 15·12 = 180 m².

Slant heights:
s1 = sqrt(10^2 + (12/2)^2) = sqrt(100+36) = sqrt(136) ≈ 11.66190379 m
s2 = sqrt(10^2 + (15/2)^2) = sqrt(100+56.25) = 12.5 m

Lateral area = 2*(1/2·15·s1) + 2*(1/2·12·s2) = 15·s1 + 12·s2
≈ 15·11.66190379 + 12·12.5 = 174.92855685 + 150 = 324.92855685 m²

Total surface area = 180 + 324.92855685 ≈ 504.93 m².