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)
The formula to calculate the surface area of a rectangular pyramid is given by:
Surface Area = lw + 1/2 * l * s
Given:
l = 8 cm
w = 4 cm
h = 2 cm
First, we need to calculate the slant height "s":
s^2 = h^2 + (w/2)^2
s^2 = 2^2 + (4/2)^2
s^2 = 4 + 4
s^2 = 8
s = √8
s ≈ 2.83
Now we can substitute the values into the formula and calculate the surface area:
Surface Area = 8*4 + 1/2 * 8 * 2.83
Surface Area = 32 + 1/2 * 8 * 2.83
Surface Area = 32 + 4 * 2.83
Surface Area = 32 + 11.32
Surface Area = 43.32 cm^2
Therefore, the surface area of the rectangular pyramid is approximately 43.32 cm^2.