Name: - - - - - ­
Volume Word Problems
Do your work and solve on a separate sheet of paper.
Chap:'
Assign.
V6 111.......,...L
== a
The Caribbean Reef Tank at the New England Aquarium is a cylindricJ.l tank that is 23 feet
deep and 40 feet in diameter, as shown.
1.
_
1. How many gallons of water are needed to fill the tank?
. ( 1 gallon of water is equal to .1337 cubic feet)
2.______
2. Determine the weight of the water in the tank.
( 1 gallon of salt water weighs approximately 8.56Ibs)
Concrete weighs 145 lbs per cubic foot. To find the weight of the concrete block shown, you
need to first find the block's volume.
3.
4.
.
·3. Find
_
the~volume of
the_block shown.
4. Find the weight of each cinder block.
U1 ft
In the exercises below determine the number of cubic yard of concrete you need for a given
project. Remember a cubic yard is NOT equal to 3 cubic feet. It IS 3'X3'X3' or 27 cubic fee
or (36in)3=46,656 in
3
5.:-,5. A driveway that is 30 feet long, 18 feet wide, and 4 inches thick.
(remember, all the units must be the same before you find the volume)
6.
thick.
7.
----.-,.~.
_
.6, A tennis court that is 100 feet long, 50 feet wide. and 6 inches
_..7. A circularpatio that has a radius of 24 feet and is 8 inches thick.
g. Take a regular sheetorg!.."-Xl1tf- paper. Roll it up one way to fonn-a cylinder whose
2
height is g!-". Roll it up again to form a different cylinder whose height is 11 ". Do the
2
cylinders have the same volume? Explain using complete sentences and good math.
9. Two layers of a cake are right regular hexagonal
9.
prisms as shown in the diagram. Each layer is 3 high. Calculate the
surface area of the cake to be frosted. You don't need to frost the
bottom of the layers or the part of the bottom layer where the top
layer sits on it. Each can of frosting will cover 130 square inches.
. How many cans of frosting do you need.
II
10.
11.
_
1)
m.
10. What is the volume in cubic inches of tills cake?
11. Some bird feeders have a hollow metal cone at
their base to prevent squirrels from climbing up to the feeder. See the
picture. You are planning to manufacture tills metal cone. The slant
height needs to be 12" and the radius must be 8". What is the amount
(area) of metal you need?
12.
12. A road salt storage building is composed ofa
regular octagonal pyramid and a regular octagonal prism as shown.
.Find t~ie volume of the·salt that the building can hold if it was
completely filled.
.~~
ti:J)Bh
10 r
13.
13. What would the volume be if the salt storage building was ain the
shape of a cone 19' high and 24' in diameter?