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)

Question

 cm2

Answer 1

The surface area of a rectangular pyramid can be calculated by finding the area of the base and adding the areas of the four triangular faces.

The area of the base can be found by multiplying the length (8 cm) and width (4 cm):

Base area = l * w = 8 cm * 4 cm = 32 cm²

The area of each triangular face can be found by multiplying half the base length (8 cm/2 = 4 cm), the height (2 cm), and dividing by 2:

Triangular face area = (l/2) * h /2 = 4 cm * 2 cm / 2 = 4 cm²

Since there are four triangular faces, the total area of the triangular faces is:

Total triangular face area = 4 * 4 cm² = 16 cm²

Finally, the surface area of the rectangular pyramid is the sum of the base area and the total area of the triangular faces:

Surface area = Base area + Total triangular face area = 32 cm² + 16 cm² = 48 cm²

Therefore, the surface area of the rectangular pyramid is 48 cm².

Answer 2

wrong