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

MAKE SURE YOUR ANSWER IS CORRECT

Answer 1

The formula to find the surface area of a rectangular pyramid is:

S.A. = l × w + l × sqrt((w/2)^2 + h^2) + w × sqrt((l/2)^2 + h^2)

Substituting the given measurements:

S.A. = 15 × 12 + 15 × sqrt((12/2)^2 + 10^2) + 12 × sqrt((15/2)^2 + 10^2)

S.A. = 180 + 15 × sqrt(6^2 + 10^2) + 12 × sqrt(15^2 + 10^2)

S.A. = 180 + 15 × sqrt(36 + 100) + 12 × sqrt(225 + 100)

S.A. = 180 + 15 × sqrt(136) + 12 × sqrt(325)

S.A. ≈ 180 + 15 × 11.66 + 12 × 18.03

S.A. ≈ 180 + 174.9 + 216.36

S.A. ≈ 571.26 m^2

Rounded to the nearest hundredth, the surface area of the rectangular pyramid is approximately 571.26 m^2.