Question

Find the surface area of a rectangular pyramid with these measurements: l = 8 yd., w = 4 yd., and h = 2 yd.(1 point)
Responses

72.52 yd.2
72.52 yd. 2

43.31 yd.2
43.31 yd. 2

66 yd.2
66 yd. 2

55.55 yd.2

Answer 1

Find the surface area of a rectangular pyramid with these measurements: l = 8 yd., w = 4 yd., and h = 2 yd.(1 point)
Responses Pick one of these correct answers

72.52 yd.2
72.52 yd. 2

43.31 yd.2
43.31 yd. 2

66 yd.2
66 yd. 2

55.55 yd.2

Answer 2

To find the surface area of a rectangular pyramid, we need to find the area of each of the five faces and then add them up.

The formula for the surface area of a rectangular pyramid is:
Surface Area = Base Area + (0.5 * Perimeter of Base * Slant Height)

First, let's find the base area:
Base Area = length * width = 8 yd. * 4 yd. = 32 yd.²

Next, let's find the slant height (s) using the Pythagorean theorem:
s² = h² + (0.5 * w)²
s² = 2² + (0.5 * 4)²
s² = 4 + 1²
s² = 4 + 1
s² = 5
s = √5 ≈ 2.236 yd.

Now, let's find the perimeter of the base:
Perimeter of Base = 2 * (length + width) = 2 * (8 yd. + 4 yd.) = 2 * 12 yd. = 24 yd.

Finally, let's find the surface area:
Surface Area = Base Area + (0.5 * Perimeter of Base * Slant Height)
Surface Area = 32 yd.² + (0.5 * 24 yd. * 2.236 yd.)
Surface Area = 32 yd.² + (12 yd. * 2.236 yd.)
Surface Area = 32 yd.² + 26.832 yd.²
Surface Area ≈ 58.832 yd.²

So the correct answer would be 58.832 yd.²

Answer 3

My apologies for the mistake in my previous response. The correct answer is 72.52 yd².