See Problem 4.
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Composite Figures Use the diagram of the backpack below.
- What two figures approximate the shape of the backpack?
- What is the volume of the backpack in terms of π?
- What is the volume of the backpack to the nearest cubic inch?
Find the volume of each composite space figure to the nearest whole number.
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Image Long Description
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B Apply
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Think About a Plan A full waterbed mattress is 7 ft by 4 ft by 1 ft. If water weighs
62.4
lb /f
t
3
,
62.4 . lbslashf . t cubed , comma what is the weight of the water in the mattress to the nearest pound?
- How can you determine the amount of water the mattress can hold?
- The weight of the water is in pounds per cubic feet. How can you get an answer with a unit of pounds?
-
Open-Ended Give the dimensions of two rectangular prisms that have volumes of
80
cm
3
80 , cm cubed each but also have different surface areas.
Find the height of each figure with the given volume.
-
V
=
3240
π
cm
3
v equals , 3240 . pi , cm cubed
-
V
=
125
in
.
3
v equals . 125 , in , . cubed
-
V
=
27
f
t
3
v equals 27 , f , t cubed
-
Sports A can of tennis balls has a diameter of 3 in. and a height of 8 in. Find the volume of the can to the nearest cubic inch.
-
What is the volume of the oblique prism shown below?
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Environmental Engineering A scientist suggests keeping indoor air relatively clean as follows: For a room with a ceiling 8 ft high, provide two or three pots of flowers for every
100
f
t
2
100 f , t squared of floor space. If your classroom has an 8-ft ceiling and measures 35 ft by 40 ft, how many pots of flowers should it have?
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Reasoning Suppose the dimensions of a prism are tripled. How does this affect its volume? Explain.