Unit 7

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Unit 7 Volume
13 Volume of rectangular solids12 Volume of
cylinders11 Volume of cones 10 Volume of
pyramids9 Volume of spheres8 WP Volume
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13 Riddle
It's more powerful than God.It's more evil than
the devil.The poor have it.The rich need it.If
you eat it, you'll die.What is it?
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13 Riddle
Walks in the wind,Runs in the rain,Makes dry
oceans in the sun.Counts time, stops
clocks,Swallows kingdoms, gnaws rocks. What is
it?
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13 Volume of rectangular prisms
Volume for a prism
B is the area of the base h is the
object height (not the slant height)
VBh
Ex1. Calculate the volume of a rectangular prism
with dimensions 17ft by 5 ft by 3 ft.
3
1753
255 ft3
5
17
Find the volume
VBh
V109
90m3
5m
B10
9m
4m
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12 Riddle
How can you plant ten trees in five rows with
four trees in each row.?
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12a Volume of cylinders
Volume Area of Base height
Volume of cylinder ?r2h
6cm
8cm
V32?8
V72? cm3
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12b Volume of cylinders
Ex2. Find the volume. Use 22/7 for pi
Volume of cylinder ? r2 h
10cm
14cm
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11 Volume of cones
Two trains are headed on a collision course. The
trains are currently 65 miles apart. The north
bound train is traveling at 55 miles per hour and
the south bound train is traveling at 80 miles
per hour. What is the distance between the two
trains just before they collide?
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11a Volume of cones
Any pyramid type of shape has 1/3 the volume of
the prism.
h is the object height (not slant height)B is
the area of the Base
Volume of a cone
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11b Volume of cones
Find the exact volume.
12m
8m
V 256? m3
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10 Volume of pyramids
A couple went for a walk as they were holding
hands. However, one walked further than the
other, how is this possible?
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10a Volume of pyramids
Any pyramid type of shape has 1/3 the volume of
the prism.
B is the area of the Base h is the object height
(not slant height)
Find the volume
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9 Volume of spheres
I have three USA coins. They are not a quarter,
nor a dime, or a penny. It adds up to 60 cents.
What are the coins?
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9a Volume of spheres
Surface area of a sphere
Volume of a sphere
A4?r2 units2
Find the volume of a sphere with a diameter of 8mm
? 268.1 mm3
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8 WP Volume
What is the sum of the numbers from 1 to 100?
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8a WP Volume
Ex1. A fish tank is 26 inches tall and has a base
that is 15 inches by 22 inches. You want to fill
the tank to a depth of 24 inches. How much water
will it take?
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8b WP Volume
Ex2. Ricardo is wrapping a gift to take to a
birthday party and needs a box to put the gift
in. The only box he has measures 4 in. 6 in.
6 in. He needs a box with measurements 3 times as
large. What is the volume of the box Ricardo
needs? How does the volume compare to that of the
box he already has?
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8c WP Volume
Ex3. A cylindrical oil storage tank has a height
of 16 m and a diameter of 12 m. If the tank is
50 full, how many kiloliters of oil, to the
nearest tenth, does it contain? Use ? 3.14. (1
kL 1 m3)
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8d WP Volume
The inside of an ice cream cone has radius 5 cm
and height 9 cm. Assuming that a half-scoop of
ice cream is in the shape of a hemisphere, (half
a sphere) and that it fits perfectly on top of
the cone (same radius), find the total volume of
ice cream cone. Round to the nearest tenth.
Volume of Sphere
Volume of cone
5
Volume ?r2h/3
9
l