Jazzlyn Sturgis Volume of a Pyramid V13Bh To find the Value of a Pyramid you multiply 13 by the area of the Base by the Height of the pyramid Note that the height and base of the Pyramid is as shown ID: 532656
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Slide1
Volumes of Pyramids & Cones
Jazzlyn
SturgisSlide2
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.Slide3
Note that the height and base of the Pyramid is as shown…Slide4
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.Slide5
Answers
V=1/3Bh
V=1/3x18x5
V=30in^3
V=1/3x121x11
V=443.7cm^3Slide6
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. Slide7
Sample
Find the volume of this Oblique Pyramid.Slide8
Answer
V=1/3Bh
V=1/3x49x7.5
V=122.5in^3Slide9
Using the Pythagorean Theorem
Sometimes in order to find the height of a pyramid you will need to use the
P
ythagorean theorem (a
2
+b
2
=c
2)
.
For example… Slide10Slide11
Volume of a ConeSlide12
Oblique ConeSlide13
SAMPLE
1.
2.Slide14
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=19396.2mm^3