Question

Find the surface area of a rectangular pyramid with these measurements: l
= 13 cm, w
= 11 cm, and h
= 8 cm. Express your answer as a decimal rounded to the nearest hundredth.(1 point)
cm2

Answer 1

Base area = l·w = 13·11 = 143 cm².

Slant heights:
s_w = sqrt(h^2 + (w/2)^2) = sqrt(8^2 + (11/2)^2) = sqrt(94.25) ≈ 9.7082449 cm
s_l = sqrt(h^2 + (l/2)^2) = sqrt(8^2 + (13/2)^2) = sqrt(106.25) ≈ 10.3077641 cm

Lateral area = l·s_w + w·s_l ≈ 13(9.7082449) + 11(10.3077641) ≈ 239.59259 cm².

Total surface area ≈ 143 + 239.59259 = 382.59259 ≈ 382.59 cm².