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A right rectangular pyramid net is shown.

What is the surface area of the figure?

A right rectangular pyramid net is shown. What is the surface area of the figure?-example-1

1 Answer

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Answer:

56 square units

Explanation:

The net of the right rectangular pyramid is composed of a square in the middle and 4 triangles surrounding it.

To find the surface area of the pyramid, we have to find the area of its net.

First, we can solve for the area of the square in the middle.

length²

4² = 4 × 4 = 16

Next, we can solve for the area of each of the triangles.

(1/2) × base × height

(1/2) × 4 × 5 = (1/2) × 20 = 10

Finally, we can solve for the area of the net (which is the surface area of the pyramid).

area of square + (4 × area of triangle)

16 + (4 × 10) = 16 + 40 = 56 square units

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