Find the surface area of a rectangular pyramid with these measurements: 1 =
8 cm, w = 4 cm, and h = 2 cm. Express your answer as a decimal rounded
to the nearest hundredth. (1 point)
To find the surface area of a rectangular pyramid, we must find the area of each face and add them together.
The formula for the surface area of a rectangular pyramid is:
Surface Area = 2lw + l√((w/2)^2 + h^2) + w√((l/2)^2 + h^2)
Given:
l = 8 cm
w = 4 cm
h = 2 cm
Plugging in these values:
Surface Area = 2(8)(4) + 8√((4/2)^2 + 2^2) + 4√((8/2)^2 + 2^2)
Surface Area = 64 + 8√(4 + 4) + 4√(16 + 4)
Surface Area = 64 + 8√8 + 4√20
Surface Area ≈ 64 + 8(2.83) + 4(4.47)
Surface Area ≈ 64 + 22.64 + 17.88
Surface Area ≈ 104.52
Therefore, the surface area of the rectangular pyramid is approximately 104.52 square centimeters.