4. Calculate the surface area of the rectangular pyramid below.

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1 point
Captionless Image
SA = area of the base + 2(parallel triangle faces) + 2(parallel triangle faces)
278 yd^2
1,728 yd^2
268 yd^2
1,1440 yd^2
412 yd^2
206 yd^2

1 answer

To calculate the surface area of a rectangular pyramid, you need to add the area of the base to twice the area of one of the triangular faces.

Given that the surface area is 278 yd^2 and the base is a rectangle, let's assume the area of the base is B and the area of each triangular face is T.

So we have:
SA = B + 2T

Since the pyramid is rectangular and we know the surface area and the area of the base, we can set up the equation as follows:
278 = B + 2T

Now, to find B, you can subtract twice the area of the triangle from the total surface area:
2T = 278 - B
2T = 278 - B

At this point, without knowing the specific dimensions of the pyramid, we cannot determine the individual values of B and T to calculate the surface area. The surface area of the rectangular pyramid would depend on the actual dimensions of the base and the triangular faces.