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4.7 Volumes of Prisms and Cylinders - Printable Math Worksheets 9th Grade - Wayground

4.7 Volumes of Prisms and Cylinders

Mark Hostert

Created by Mark Hostert

14 questions

9th Grade

Math

Updated Aug 2026

This Grade 9 mathematics worksheet gives students focused practice finding the volume of prisms and cylinders. Across 14 multiple-choice questions, students use volume formulas for rectangular prisms, triangular prisms, cubes, and cylinders; identify the correct formula; interpret volume as the space an object occupies; and calculate with measurements shown in figures. Several items require rounding to the nearest whole number or tenth and selecting the correct cubic unit. The worksheet is useful for introducing or reviewing three-dimensional volume formulas and checking whether students can choose an appropriate method before calculating. Its varied examples help teachers identify whether errors come from formula selection, computation, rounding, or unit notation. This free printable worksheet includes an answer key, making it suitable for independent practice, classwork, homework, or a quick skills check.

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4.7 Volumes of Prisms and Cylinders

Total questions: 14

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.
Volume is the amount of space an object takes up.
a)
True
b)
False
3.
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)

7230

b)

6621

c)

1131

d)

907

4.
Question Image
a)
45mm2
b)
45mm3
c)
3,375mm3
d)
3,375mm2
5.
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
6.
Question Image
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
7.
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

8.
Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.
Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.
a)
16.4 cm3
b)
31.7 cm3
c)
31.4 cm3
d)
22.0 cm3
9.
Find the volume of this prism:
Find the volume of this prism: 
a)
9 yd cubed
b)
24 yd cubed
c)
12 yd cubed
10.
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
11.
Question Image
a)
546 m3
b)
456 m3
c)
654 m3
d)
54 m3
12.

What is the formula for the Volume of a cylinder?

a)

πr2

b)

πr2H

c)

2B + LA

d)

πrl

13.

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

a)

V = Lw

b)

V = LWH

c)

V = 1/2bh

d)

V = 2πr

14.
Find the volume of a cube with side lengths of 6 inches.
a)
216 inches cubed
b)
36 inches squared
c)
6 inches
d)
200 inches cubed
WaygroundAnswer Key

4.7 Volumes of Prisms and Cylinders

Total questions: 14

1.
d)

330 yd3

2.
a) True
3.
c)

1131

4.
c) 3,375mm3
5.
d) 40 cm³
6.
b) 420 cm3
7.
a)

960 cm 3

8.
c) 31.4 cm3
9.
b) 24 yd cubed
10.
c) 972 cm³
11.
a) 546 m3
12.
b)

πr2H

13.
b)

V = LWH

14.
a) 216 inches cubed

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FAQs

What does this worksheet cover, and how does it help students learn volume?

This Grade 9 worksheet uses 14 multiple-choice questions to practice finding the volume of rectangular prisms, triangular prisms, cubes, and cylinders. Students also identify formulas such as V = LWH and V = πr²h, interpret volume, apply rounding instructions, and select answers with correct cubic units.

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

Introduce the worksheet by reviewing how volume measures the space inside a three-dimensional object and matching each solid to its formula. Model one prism and one cylinder, emphasizing the difference between base area and height, then have students explain why a chosen answer is correct after completing the multiple-choice items.

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

Check whether students confuse volume formulas with formulas for area or surface area, especially when choosing among the cylinder and rectangular-prism options. Also watch for missing cubic units, using the wrong prism dimensions, confusing a cylinder’s radius with another measurement, or rounding to the wrong place when an item specifies the nearest whole number or tenth.

How do I assign and grade this volumes of prisms and cylinders worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all 14 multiple-choice questions. For printable submissions, you can scan student work with the Wayground for Teachers app to support grading.

How can I differentiate this worksheet for my students?

For the volume diagrams, formula-identification items, and multiple-choice calculations, use Advanced Settings to adjust font spacing or choose a larger font size for easier visual tracking. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those file-level changes support access to the prism and cylinder practice.

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, with 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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