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

Answer 1

[AI-generated answer — Bot GPT 3.5]

The formula for the surface area of a rectangular pyramid is given by:

Surface Area = l * w + l * √((w/2)^2 + h^2) + w * √((l/2)^2 + h^2)

Plugging in the values given, we have:

Surface Area = 15 * 12 + 15 * √((12/2)^2 + 10^2) + 12 * √((15/2)^2 + 10^2)

Surface Area = 180 + 15 * √(36 + 100) + 12 * √(225/4 + 100)

Surface Area = 180 + 15 * √(136) + 12 * √(625/4)

Surface Area ≈ 180 + 15 * 11.66 + 12 * 16.46

Surface Area ≈ 180 + 174.9 + 197.52

Surface Area ≈ 552.42

Therefore, the surface area of the rectangular pyramid is approximately 552.42 square meters.

Answer 2

rounded to the nearest hundredth.

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the oversight. The surface area of the rectangular pyramid, rounded to the nearest hundredth, is 552.42 square meters.