NAME _____________________________________________ DATE ____________________________ PERIOD _______NB#27
Volume of Pyramids
A pyramid is a three-dimensional shape with one base and triangular lateral faces. The volume V of a pyramid is one
third the area of the base B times the height h.
1
V = Bh
3
Example
Find the volume of the pyramid. Round to the nearest tenth.
1
V = 3 Bh
1
3
V = (ℓw)h
1
Volume of a pyramid
The base is a rectangle, so B = ℓw
V = 3 (4.3 • 3.2) • 11
ℓ = 4.3, w = 3.2, h = 11
V ≈ 50.5
Simplify.
The volume is about 50.5 cubic meters.
Exercises
Find the volume of each pyramid. Round to the nearest tenth if necessary.
1.
2.
3.
4.
5.
6.
NAME _____________________________________________ DATE ____________________________ PERIOD _______NB#27
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11. GREAT PYRAMID The Great Pyramid has a height of about 480.7 feet and base edges about 756 feet. The base is
almost square. Find the approximate volume of this pyramid.