Volume Unit Study Guide
NAME _______________________
NOTE: This study guide is not intended to be all-inclusive. Neither is it intended to serve
as a substitute for regular attendance, classroom participation, and homework completion.
DIRECTIONS: Find the total volume of the castle, including the towers.
Show ALL work to receive credit.
A.
D.
C.
B.
E.
A.
B.
C.
D.
E.
Total Volume:
Use 3.14 for 
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Volume Unit Study Guide
NAME _______________________
NOTE: This study guide is not intended to be all-inclusive. Neither is it intended to serve
as a substitute for regular attendance, classroom participation, and homework completion.
Work Space for #’s 7 – 9. Show ALL work here. Circle your answers.
7.
8.
9,
7. A cylinder is cut into four
equal parts. Find the volume of
the part shown below.
8. Find the volume of the staircase with
dimensions as given.
9. An ice cream cone is 9 cm deep (height) and 4 cm across the
top (diameter). A single scoop of ice cream, 4 cm in diameter,
is placed on the cone. If the ice cream melts into the cone, will
it overflow?
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Volume Unit Study Guide
NAME _______________________
NOTE: This study guide is not intended to be all-inclusive. Neither is it intended to serve
as a substitute for regular attendance, classroom participation, and homework completion.
10. A rectangular container is to be
formed by folding the cardboard
along the dotted lines. Find the
volume of this container.
11. The cylindrical glass is full of
water, which is poured into the
rectangular pan. Will the pan
overflow? Explain (show all work).
12. Zach Granata’s lunch box is in the
shape of a half cylinder on a
rectangular box. To the nearest
whole unit, what is:
a. The total volume it contains?
b. The total area of the sheet
metal needed to manufacture
it?
13. A cistern is to be built of cement.
The walls and bottom will be 1 ft.
thick. The outer height will be 20 ft.
The inner diameter will be 10 ft. To
the nearest cubic foot, how much
cement will be needed for the job?
.
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Volume Unit Study Guide
NAME _______________________
NOTE: This study guide is not intended to be all-inclusive. Neither is it intended to serve
as a substitute for regular attendance, classroom participation, and homework completion.
14. Find the volume of a cylindrical
glass if its height is 12 cm and a 15
cm straw just fits inside it as shown
15 cm
12 cm
15. A plastic bowl is in the shape of a
cylinder with a hemisphere cut out.
The dimensions are shown.
a. What is the volume of the
cylinder?
b. What is the volume of the
hemisphere?
c. What is the volume of plastic used
to make the bowl?
16. Trapezoidal pyramid
V = ____________
17. A rectangular container is to be
formed by folding the cardboard
along the dotted lines. Find the
volume of this container.
V = _______________________
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Volume Unit Study Guide
NAME _______________________
NOTE: This study guide is not intended to be all-inclusive. Neither is it intended to serve
as a substitute for regular attendance, classroom participation, and homework completion.
18. V = __________________
19. Hemisphere w/ 90◦ slice removed
V = __________________
20. Cylinder
Find the total surface area. TSA = _______________________
C = 2 Πr
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Volume Unit Study Guide
NAME _______________________
NOTE: This study guide is not intended to be all-inclusive. Neither is it intended to serve
as a substitute for regular attendance, classroom participation, and homework completion.
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