Question

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

To find the surface area of a rectangular pyramid, we need to find the area of each face and then add them together.

First, let's find the area of the base. The base of the pyramid is a rectangle, so the area is given by length times width:
Base area = l * w = 15 * 12 = 180 m^2.

Next, let's find the area of each face triangle. Since the pyramid is a rectangular pyramid, each face triangle is a right triangle. The area of a right triangle is given by (1/2) * base * height. Let's calculate the area of each face triangle:

Face 1:
(1/2) * 15 * 10 = 75 m^2

Face 2:
(1/2) * 12 * 10 = 60 m^2

Face 3:
(1/2) * 15 * 10 = 75 m^2

Face 4:
(1/2) * 12 * 10 = 60 m^2

Now, let's add up all the areas:

Total surface area = base area + sum of face triangle areas
= 180 + 75 + 60 + 75 + 60
= 450 m^2

Therefore, the surface area of the rectangular pyramid is 450 m^2.