1. Theorem 12.9 Volume of a Pyramid
The volume V of a pyramid is V = 1/3BH, where B is the area of the base and h is the height.

2. Solving for a Square-Based Pyramid
Identify the formula you need to find the volume of a pyramid
Plug in the numbers of your corresponding sides of your pyramid
Solve
You must first find the area of the base of the pyramid
Now that you have the appropriate information, you can solve to get the variable by its self.
You have to first multiply B x h
Then you must divide the product of the two by three.
Write your final answer
V = 1/3Bh
V=1/3 (8²)(12)
Area = 8²
A = 64
V = 1/3(64)(12)
V = 1/3(768)
V = 768/3
V = 256 in³

3. Finding the Area of Pyramid with a Regular Base
Area of an Equilateral Triangle = 1/4√3s²
1/4 √3(3) ²
A= 3.9
3.9(6)
A=23.4
V = 1/3(23.4)(7)
V = 54.6 units²
1st you must find the area of the base.
To find the area of a hexagon, you must divide it into 6 equilateral triangle.
Use the formula for the area of an equilateral triangle. Then multiply the area of the triangle by 6.
Now that you have found the area, you must plug the numbers into the formula
r = 3
s = 8
h = 7

4. Now You Try 1)
Answer: V = 600 ft.³ 2)
Answer: V = 96 ft³