Thread: pyramid....

1.) Find the lateral area of a regular hexagonal pyramid if each edge of base is 10m and each lateral edge is 15m.

2.) Find the volume and the lateral area of a regular triangular pyramid if the altitude is 20 inches and the base of equal sides is 9 inches.

3.) Find the volume and the total area of a triangular pyramid if each lateral edge is 30 meters and the base is 10 meters on a side. It's base is an equilateral triangle.

Hello, orochimaru700!

Here's the first one . . .

1) Find the lateral area of a regular hexagonal pyramid
. . .if each edge of base is 10m and each lateral edge is 15m.

I assume the "lateral edge" is what most of us call the "slant height".


One of the triangular side panels looks like this:

Code:

              *
             /|\
            / | \
           /  |  \ 15
          /  h|   \
         /    |    \
        /     |     \
       /      |      \
      * - - - * - - - *
                  5

From Pythagorus: .

The area of this triangle is: .


Therefore, the area of the six panels is: .