Question

The net of a square pyramid is shown below. What are the possible areas for a single face in this net? Check all that apply.

A net with a square base with sides lengths of 5 meters, and 4 triangles with heights of 6 meters.
11 square meters
15 square meters
24 square meters
25 square meters
30 square meters

Answer 1

Answer: 1,2,and 4. I did it online and got it right!

Answer 2

B. 15 square meters (for the triangles)

D. 25 square meters (for the square base)

Bonus: The total surface area would be 85 square meters.

Explanation:

The square base is easier to deduce here; simply square 5 to get 25 square meters for the base.

The triangles require some math, however. But it is relatively simple

(5 * 6)/2

30/2

15 square meters for the triangles.

For bonus, I'll find the total surface area.

5² + 4((5 * 6)/2)

First, square 5 to get 25.

25 + 4((5 * 6)/2)

Now multiply 5 * 6 to get 30.

25 + 4(30/2)

Then divide 30 by 2 to get 15.

25 + 4(15)

Now multiply 4 by 15 to get 60.

25 + 60

Lastly, add 25 and 60 to get 85.

The entire square pyramid's surface area is 85 square meters.

I hope this helps! ヽ(*⌒▽⌒*)ﾉ