1. Volumes of Pyramids & Cones
Jazzlyn Sturgis

2. Volume of a Pyramid V=1/3Bh
To find the Value of a Pyramid you multiply 1/3 by the area of the Base by the Height of the pyramid.

3. Note that the height and base of the Pyramid is as shown…

4. Sample Problems
Find the volume of a pyramid with a height of 5 in. and a base with a side measurement of 9 in.
2. Find the volume of this pyramid.

5. Answers
V=1/3Bh
V=1/3x18x5
V=30in^3
V=1/3x121x11
V=443.7cm^3

6. Oblique Pyramid
Finding the volume for an Oblique Pyramid requires the same formula as a regular pyramid. However, the height of an Oblique Pyramid is the length of the perpendicular segment from the vertex to the plane of the base.

7. Sample
Find the volume of this Oblique Pyramid.

8. Answer
V=1/3Bh
V=1/3x49x7.5
V=122.5in^3

9. Using the Pythagorean Theorem
Sometimes in order to find the height of a pyramid you will need to use the Pythagorean theorem (a2+b2=c2).
For example…

11. Volume of a Cone

12. Oblique Cone

13. SAMPLE 1. 2.

14. Answers
1. V=1/3Bh
V=1/3x113.1x12 (area of the circle or base is pi times the radius squared which is pi times 36 which equals 113.1)
V=452.4m^3
2. V=1/3x1385.4x42
V= mm^3