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Volume of Rectangular Prism and Cylinder - Printable Math Worksheets 8th Grade - Wayground

Volume of Rectangular Prism and Cylinder

Phi-Bao Tran

Created by Phi-Bao Tran

19 questions

8th Grade

Math

Updated May 2026

This Grade 8 mathematics worksheet helps students identify and apply formulas for the area of a rectangle, the area of a circle, the volume of a rectangular prism, and the volume of a cylinder. It includes 19 multiple-choice questions, beginning with formula recognition and continuing with items that ask students to select expressions for finding the volume of pictured figures. Students build fluency in matching a figure to its appropriate volume expression and distinguishing the two-dimensional area formulas used within those expressions. The worksheet is useful for guided practice, independent review, or a quick check of formula selection before students solve more complex volume problems. It is a free printable worksheet with a complete answer key, and the questions are also available in a digital format on Wayground.

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WaygroundWorksheets

Volume of Rectangular Prism and Cylinder

Total questions: 19

Name
Class
Date
1.

What is the equation for the area of a rectangle?

a)

A=L⋅WA=L\cdot W  

b)

A=πr2A=\pi r^2  

c)

A=2πrA=2\pi r  

d)

A=L⋅W⋅HA=L\cdot W\cdot H  

2.

What is the equation for the area of a circle?

a)

A=L⋅WA=L\cdot W  

b)

A=πr2A=\pi r^2  

c)

A=2πrA=2\pi r  

d)

A=L⋅W⋅HA=L\cdot W\cdot H  

3.

What is the equation for the volume of a rectangular prism?

a)

V=L⋅W⋅HV=L\cdot W\cdot H  

b)

V=πr2⋅HV=\pi r^2\cdot H  

c)

V=2πr ⋅HV=2\pi r\ \cdot H  

d)

V=L⋅W⋅rV=L\cdot W\cdot r  

4.

What is the equation for the volume of a cylinder?

a)

V=L⋅W⋅HV=L\cdot W\cdot H  

b)

V=πr2⋅HV=\pi r^2\cdot H  

c)

V=2πr ⋅HV=2\pi r\ \cdot H  

d)

V=L⋅W⋅rV=L\cdot W\cdot r  

5.
What expression finds the volume of the figure?

What expression finds the volume of the figure?

a)

V=63⋅14V=63\cdot14  

b)

V=6⋅3⋅14V=6\cdot3\cdot14  

c)

V=63+14V=63+14  

d)

V=π632⋅14V=\pi63^2\cdot14  

6.
What expression finds the volume of the figure?

What expression finds the volume of the figure?

a)

V=130⋅17V=130\cdot17  

b)

V=1⋅30⋅17V=1\cdot30\cdot17  

c)

V=130+17V=130+17  

d)

V=π1302⋅17V=\pi130^2\cdot17  

7.
What expression finds the volume of the figure?

What expression finds the volume of the figure?

a)

V=15⋅8V=15\cdot8  

b)

V=10⋅5⋅8V=10\cdot5\cdot8  

c)

V=15+8V=15+8  

d)

V=π152⋅8V=\pi15^2\cdot8  

8.
What expression finds the volume of the figure?

What expression finds the volume of the figure?

a)

V=90⋅4V=90\cdot4  

b)

V=10⋅80⋅4V=10\cdot80\cdot4  

c)

V=90+4V=90+4  

d)

V=π902⋅4V=\pi90^2\cdot4  

9.
What expression finds the volume of the figure?

What expression finds the volume of the figure?

a)

V=144⋅11V=144\cdot11  

b)

V=14⋅4⋅11V=14\cdot4\cdot11  

c)

V=144+11V=144+11  

d)

V=π1442⋅11V=\pi144^2\cdot11  

10.
What expression finds the volume of the figure?

What expression finds the volume of the figure?

a)

V=450⋅12V=450\cdot12  

b)

V=4⋅50⋅12V=4\cdot50\cdot12  

c)

V=450+12V=450+12  

d)

V=π4502⋅12V=\pi450^2\cdot12  

11.
What expression finds the volume of the figure?

What expression finds the volume of the figure?

a)

V=16⋅3V=16\cdot3  

b)

V=9⋅16⋅3V=9\cdot16\cdot3  

c)

V=9+16+3V=9+16+3  

d)

V=9⋅16V=9\cdot16  

12.
What expression finds the volume of the figure?

What expression finds the volume of the figure?

a)

V=15⋅12V=15\cdot12  

b)

V=15⋅12⋅17V=15\cdot12\cdot17  

c)

V=15+12+17V=15+12+17  

d)

V=π122⋅17V=\pi12^2\cdot17  

13.
What expression finds the volume of the figure?

What expression finds the volume of the figure?

a)

V=6⋅10V=6\cdot10  

b)

V=7⋅6⋅10V=7\cdot6\cdot10  

c)

V=7+6+10V=7+6+10  

d)

V=π62⋅10V=\pi6^2\cdot10  

14.
What expression finds the volume of the figure?

What expression finds the volume of the figure?

a)

V=6⋅11V=6\cdot11  

b)

V=π32⋅11V=\pi3^2\cdot11  

c)

V=π62⋅11V=\pi6^2\cdot11  

d)

V=π112⋅6V=\pi11^2\cdot6  

15.
What expression finds the volume of the figure?

What expression finds the volume of the figure?

a)

V=24⋅30V=24\cdot30  

b)

V=π242⋅30V=\pi24^2\cdot30  

c)

V=π122⋅30V=\pi12^2\cdot30  

d)

V=π302⋅24V=\pi30^2\cdot24  

16.
What expression finds the volume of the figure?

What expression finds the volume of the figure?

a)

V=19⋅21V=19\cdot21  

b)

V=π192⋅21V=\pi19^2\cdot21  

c)

V=π9.52⋅21V=\pi9.5^2\cdot21  

d)

V=π212⋅19V=\pi21^2\cdot19  

17.
What expression finds the volume of the figure?

What expression finds the volume of the figure?

a)

V=5⋅9V=5\cdot9  

b)

V=π52⋅9V=\pi5^2\cdot9  

c)

V=π2.52⋅9V=\pi2.5^2\cdot9  

d)

V=π92⋅5V=\pi9^2\cdot5  

18.
What expression finds the volume of the figure?

What expression finds the volume of the figure?

a)

V=20⋅13V=20\cdot13  

b)

V=π102⋅13V=\pi10^2\cdot13  

c)

V=π202⋅13V=\pi20^2\cdot13  

d)

V=π132⋅20V=\pi13^2\cdot20  

19.
What expression finds the volume of the figure?

What expression finds the volume of the figure?

a)

V=14⋅19V=14\cdot19  

b)

V=π142⋅19V=\pi14^2\cdot19  

c)

V=π72⋅19V=\pi7^2\cdot19  

d)

V=π192⋅14V=\pi19^2\cdot14  

WaygroundAnswer Key

Volume of Rectangular Prism and Cylinder

Total questions: 19

1.
a)

A=L⋅WA=L\cdot W  

2.
b)

A=πr2A=\pi r^2  

3.
a)

V=L⋅W⋅HV=L\cdot W\cdot H  

4.
b)

V=πr2⋅HV=\pi r^2\cdot H  

5.
a)

V=63⋅14V=63\cdot14  

6.
a)

V=130⋅17V=130\cdot17  

7.
a)

V=15⋅8V=15\cdot8  

8.
a)

V=90⋅4V=90\cdot4  

9.
a)

V=144⋅11V=144\cdot11  

10.
a)

V=450⋅12V=450\cdot12  

11.
b)

V=9⋅16⋅3V=9\cdot16\cdot3  

12.
b)

V=15⋅12⋅17V=15\cdot12\cdot17  

13.
b)

V=7⋅6⋅10V=7\cdot6\cdot10  

14.
c)

V=π62⋅11V=\pi6^2\cdot11  

15.
b)

V=π242⋅30V=\pi24^2\cdot30  

16.
b)

V=π192⋅21V=\pi19^2\cdot21  

17.
b)

V=π52⋅9V=\pi5^2\cdot9  

18.
b)

V=π102⋅13V=\pi10^2\cdot13  

19.
b)

V=π142⋅19V=\pi14^2\cdot19  

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FAQs

What does the Volume of Rectangular Prism and Cylinder worksheet cover?

This Grade 8 worksheet uses 19 multiple-choice questions to practice recognizing the area formulas for rectangles and circles and the volume formulas for rectangular prisms and cylinders. Students then select expressions that represent the volume of pictured figures, strengthening their ability to match dimensions and shapes with the correct formula.

How can I use this worksheet to teach volume formulas for rectangular prisms and cylinders?

Begin by reviewing why rectangle and circle area formulas appear in the volume formulas for prisms and cylinders. Model how to identify the figure and its dimensions before choosing an expression, then have students explain why a selected expression fits each pictured figure. Use the early formula-recognition items as guided examples before assigning the volume-expression questions independently.

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

Watch for students choosing an area formula when the question asks for volume, using the rectangular-prism formula for a cylinder, or leaving out a required length, width, or height factor. Students may also confuse the circle-area component with the full cylinder-volume expression. Ask them to name the figure and check whether their expression represents three-dimensional space before selecting an answer.

How do I assign and grade this Volume of Rectangular Prism and Cylinder worksheet?

You can assign this worksheet as a printable PDF or as a digital quiz on Wayground, and its complete answer key supports quick scoring of the 19 multiple-choice questions. For printable submissions, scan student work with the Wayground for Teachers app to grade it efficiently.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size for the formula and figure-based multiple-choice items, or enable a dyslexia-friendly font. You can also translate the worksheet into another language when language access would help students interpret the volume prompts.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across 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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