Find the surface area of a rectangular pyramid with these measurements: l = 15m, w = 12 m, and h = 10 m. Express your answer as a decimal rounded to the nearest hundredth.
(1 point)
To find the surface area of a rectangular pyramid, we need to calculate the area of the base and the area of each of the four triangular faces.
1. Calculate the area of the base:
Area of base = l x w
Area of base = 15m x 12m
Area of base = 180 square meters
2. Calculate the area of each triangular face:
Area of a triangular face = (l x h) / 2
Area of a triangular face = (15m x 10m) / 2
Area of a triangular face = 75 square meters
3. Calculate the total surface area:
Total surface area = 2(lw) + 2(lh) + 2(wh) (base is not counted in the total surface area)
Total surface area = 2(15 x 12) + 2(15 x 10) + 2(12 x 10)
Total surface area = 360 + 300 + 240
Total surface area = 900 square meters
Therefore, the surface area of the rectangular pyramid is 900 square meters.
I said round to the nearest hundredth so you're off.
My apologies for the oversight.
To round to the nearest hundredth, we need to look at the decimal places. Since the measurement is in meters, which is a unit of length, the surface area will be in square meters, which means we need to round to two decimal places.
The surface area of the rectangular pyramid is 900 square meters. Rounded to the nearest hundredth, it is 900.00 square meters.