Find the surface area of a rectangular pyramid with these measurements: l = 8 cm, w = 4 cm, and h = 2 cm. Express your answer as a decimal rounded to the nearest hundredth.(1 point)

Answer 1

The surface area of a rectangular pyramid can be found using the formula:

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

Given that l = 8 cm, w = 4 cm, and h = 2 cm, we can substitute these values into the formula:

Surface Area = 2(8)(4) + 8√(4/2)^2 + 4√(8/2)^2
= 64 + 8√4 + 4√8
= 64 + 8(2) + 4(2√2)
= 64 + 16 + 8√2
= 80 + 8√2

Rounded to the nearest hundredth, the surface area of the rectangular pyramid is 80 + 8√2 ≈ 92.23 cm².