Find the surface area of a regular square pyramid with a slant height of 17 m and a base perimeter of 44 m.

Question

mathstudent55 · Answer

regular square pyramid
The base is a square with perimeter 44 m.
What is the side of the base?

welshfella · Answer

a square has 4 equal sides  so if 4 sides = 44m  what is one side  equal to?

anonymous · Answer

11

welshfella · Answer

right so the area of the base = 11^2

mathstudent55 · Answer

Good.
You have a base that is a square with 11 m side.
What is the area of the base?

anonymous · Answer

121

mathstudent55 · Answer

Good.
Now we need the lateral area. That is the area of the 4 triangular sides.

mathstudent55 · Answer

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mathstudent55 · Answer

There are 4 sides shaped like a triangle.
Each triangle has a base of 11 m, and a height of 17 m.
Find the area of 1 side, and multiply it by 4.
That will be the lateral area.
Then add that to the base area that you already calculated above.

mathstudent55 · Answer

You are correct.

mathstudent55 · Answer

Wait, your answer disappeared!

anonymous · Answer

yes thanks alot :)
it's fine I might have pressed a wrong button

mathstudent55 · Answer

It was correct.

4 * (17)(11)/2 + 121 = 495

mathstudent55 · Answer

You're welcome.