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Volume of Prisms and Cylinders - Printable Math Worksheets 9th - 12th Grade - Wayground

Volume of Prisms and Cylinders

Faith Roybal

Created by Faith Roybal

20 questions

9th - 12th Grade

Math

Updated Aug 2026

Volume of Prisms and Cylinders is a free printable mathematics worksheet for Grades 9–12 that helps students calculate the volume of rectangular prisms, triangular prisms, and cylinders. The 20 multiple-choice questions ask students to interpret three-dimensional figures, select or apply appropriate volume formulas, identify volume as the space inside a three-dimensional object, and use given dimensions such as radius, diameter, base area, and height. Students also practise rounding volume measurements to the nearest tenth or whole number, estimating volume, labeling answers with cubic units, and applying volume to real-world situations involving a cylindrical container, a soup pot, and a water-filled trough. The worksheet includes an answer key, making it useful for independent practice, review, homework, or a formative check of students’ ability to reason about prism and cylinder volume.

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WaygroundWorksheets

Volume of Prisms and Cylinders

Total questions: 20

Name
Class
Date
1.
Find the volume of the rectangular prism.

Find the volume of the rectangular prism.

a)

55 yd3

b)

121 yd3

c)

22 yd3

d)

330 yd3

2.
Find the volume of the figure. Round to the nearest tenth.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
3.
Find the Volume of the triangular prism. V = (base area)(height)

Find the Volume of the triangular prism.

V = (base area)(height)

a)

960 cm 3

b)

240 cm 3

c)

1920 cm 3

d)

400 cm 3

4.
Find the volume of the solid shown in the figure. Round to the nearest whole number.

Find the volume of the solid shown in the figure. Round to the nearest whole number.

a)

5,524

b)

377

c)

1,131

d)

120

5.
Find the volume of the figure.
Find the volume of the figure.
a)
63 cm³
b)
91 cm³
c)
819 cm³
d)
409.5 cm³
6.
Find the volume of the figure. Round to the nearest tenth.
Find the volume of the figure. Round to the nearest tenth.
a)

128.0 units³

b)

1,286.8 units³

c)

402.1 units³

d)

5,147.2 units³

7.
Find the volume of the figure. Round to the nearest whole number.
Find the volume of the figure. Round to the nearest whole number.
a)
1,944 cm³
b)
108 cm³
c)
972 cm³
d)
216 cm³
8.
Find the volume of the figure. Round to the nearest tenth.
Find the volume of the figure. Round to the nearest tenth.
a)
79.8 cm³
b)
168.2 cm³
c)
35 cm³
d)
175 cm³
9.
What is volume?
a)
The amount of space of a 2-D object
b)
The amount of space in a 3-D object
c)
Water
d)
Area
10.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 

Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
11.
Michael has a very large soup pot shaped like a cylinder that has a height of 15  inches and a radius of 6 inches. How much soup can Michael’s soup pot hold?
a)
5596.07 in3
b)

282.7. in3

c)

1696.5 in3

d)

424.1 in3

12.
This trough is filled with water. If 1 cubic foot holds 7.5 gallons, how much water will fill the trough?
This trough is filled with water.  If 1 cubic foot holds  7.5 gallons, how much water will fill the trough?
a)
21.5 gallons
b)
112.5 gallons
c)
133 gallons
d)
150 gallons
13.
Estimate the volume.
Estimate the volume.
a)
163in3
b)

94in3

c)
283in3
d)
324in3
14.
Question Image
a)
45mm2
b)
45mm3
c)
3,375mm3
d)
3,375mm2
15.
Question Image
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
16.
Find the volume of this prism:
Find the volume of this prism: 
a)
9 yd cubed
b)
24 yd cubed
c)
12 yd cubed
17.
What is the volume of this triangular prism?
What is the volume of this triangular prism?
a)
576 cm3
b)
288 cm3
c)
333 cm3
d)
28 cm3
18.

What is the formula for the Volume of a cylinder?

a)

πr2

b)

πr2h

c)

2B + LA

d)

πrl

19.

What is the formula used to find the volume of a rectangular prism?

a)

V = Lw

b)

V = Bh

c)

V = 1/2bh

d)

V = 2πr

20.
What is the volume of the prism?

What is the volume of the prism?

a)

132 cm3132\ cm^3

b)

330 cm3330\ cm^3

c)

66 cm366\ cm^3

d)

264 cm3264\ cm^3

WaygroundAnswer Key

Volume of Prisms and Cylinders

Total questions: 20

1.
d)

330 yd3

2.
d) 40 cm³
3.
a)

960 cm 3

4.
c)

1,131

5.
c) 819 cm³
6.
b)

1,286.8 units³

7.
c) 972 cm³
8.
d) 175 cm³
9.
b) The amount of space in a 3-D object
10.
b) V = π(4.5)2(32)
11.
c)

1696.5 in3

12.
c) 133 gallons
13.
c) 283in3
14.
c) 3,375mm3
15.
b) 420 cm3
16.
b) 24 yd cubed
17.
b) 288 cm3
18.
b)

πr2h

19.
b)

V = Bh

20.
c)

66 cm366\ cm^3

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FAQs

What does the Volume of Prisms and Cylinders worksheet cover?

This Grade 9–12 mathematics worksheet uses 20 multiple-choice questions to practise finding the volume of rectangular prisms, triangular prisms, and cylinders. Students apply dimensions and formulas, convert a cylinder’s diameter to its radius, round results as directed, estimate volume, and use cubic-unit measurements in figure-based and real-world problems.

How can I use this worksheet to teach volume of prisms and cylinders?

Introduce volume as the amount of space in a three-dimensional object, then review how base area and height determine prism volume and how radius, height, and π are used for cylinders. Have students explain why the cylindrical container with a 9-inch diameter uses 4.5 as the radius before completing the multiple-choice items, and discuss how the trough problem connects cubic feet to gallons.

What mistakes should I watch for when students complete this volume worksheet?

Watch for students using a cylinder’s diameter as its radius, selecting square rather than cubic units, or confusing area with volume. Students may also skip the required rounding step, use the wrong base area for a triangular prism, or choose a distractor based on an incorrect conversion when solving the trough and other word problems.

How do I assign and grade the Volume of Prisms and Cylinders worksheet?

You can assign this worksheet as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable version also supports schools that want to reduce screen time.

How can I differentiate this volume worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the volume diagrams, dimensions, and multiple-choice options are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when that supports students working through the prism, cylinder, and volume-conversion questions.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, including downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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