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)

3 answers

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

Surface Area = lw + lh + wh

Given l = 8 cm, w = 4 cm, and h = 2 cm, substituting the values into the formula, we get:

Surface Area = 8 cm * 4 cm + 8 cm * 2 cm + 4 cm * 2 cm
Surface Area = 32 cm^2 + 16 cm^2 + 8 cm^2
Surface Area = 56 cm^2

Rounded to the nearest hundredth, the surface area of the pyramid is 56.00 cm^2
WRONG
Apologies for the mistake. Let's calculate the surface area correctly.

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

Surface Area = lw + lh + wh + B

where B is the area of the base.

Given l = 8 cm, w = 4 cm, and h = 2 cm, we can calculate the area of the base using the formula:

Area of base = l * w
Area of base = 8 cm * 4 cm
Area of base = 32 cm^2

Now, we'll substitute the values into the formula for surface area:

Surface Area = (8 cm * 4 cm) + (8 cm * 2 cm) + (4 cm * 2 cm) + (32 cm^2)
Surface Area = 32 cm^2 + 16 cm^2 + 8 cm^2 + 32 cm^2
Surface Area = 88 cm^2

Rounded to the nearest hundredth, the surface area of the pyramid is 88.00 cm^2.