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

3 answers

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

SA = lw + lh + wh + 1/2pl

Given the measurements:

l = 15 m
w = 12 m
h = 10 m

We can plug these values into the formula:

SA = (15)(12) + (15)(10) + (12)(10) + 1/2(15)(12)

SA = 180 + 150 + 120 + 90

SA = 540 m^2

Therefore, the surface area of the rectangular pyramid is 540 square meters.
What is the surface area of a square pyramid where the base edge is 1.5 cm and the slant height is 4 cm? Round your answer to the nearest hundredth.(1 point)
cm2
The surface area of a square pyramid is given by the formula:

SA = 2s^2 + sl

Where s is the base edge length and sl is the slant height.

Given the measurements:

Base edge length, s = 1.5 cm
Slant height, sl = 4 cm

We can plug these values into the formula:

SA = 2(1.5)^2 + (1.5)(4)

SA = 2(2.25) + 6

SA = 4.5 + 6

SA = 10.5 cm^2

Therefore, the surface area of the square pyramid is 10.5 square centimeters.