unit 9: geometry – 6 th grade lesson 8: volume of a prism
TRANSCRIPT
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UNIT 9
: GEOMETR
Y – 6
TH
GRADE
L ES
SO
N 8
: V
OL U
ME
OF A
PR
I SM
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CORNELL NOTES HEADER
Topic: Geometry 6th Grade (Unit 9 pg. 8)
E. Q.: How can formulas be developed using models?
Name: _____________________________Date: _____________________________Class: _____________________________
Chp. 10 Lesson 7 –Volume of a Prism
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VOCABULARY
volume - the amount of space the solid occupies.
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FINDING THE VOLUME OF A RECTANGULAR PRISMCount Cubes in a Stack to Find Volume
or
Use the Formula for the Volume of a Prism: V = lwh
where l = length w = width h = height
The volume is always cubed.
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VOLUME OF A PRISM EXAMPLE
V = lwh
= (8)(6.2)(3.9)
= 193.44 in3
Estimate to check: 8 x 6 x 4 = 192
3.9 in
6.2 in8 in
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FINDING A MISSING DIMENSION EXAMPLEA pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep. Its volume is 21,600 cubic meters. How long is the pool?
V = lwh
21,600 = l(30)(12)
21,600 = 360l
360 360
60 m = l
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VOLUME GROUP PROBLEM
Find the volume of a rectangular prism that is 5 m by 2 m by 4 m.
V = lwh
V = (5)(2)(4)
V = 40 m3
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VOLUME GROUP PROBLEM
The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub?
V = lwh
16 = (4)(2)(h)
16 = 8h
2 ft = h
Remember: Formula, Fill in, Solve