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Volume and Surface Area of Solids - Printable Mathematics Worksheets year 11 - Wayground

Volume and Surface Area of Solids

12 questions

9th - 12th Grade

Mathematics

Volume and Surface Area of Solids is a free printable mathematics worksheet for students in Grades 9–12. It contains 12 multiple-choice questions that ask learners to identify and apply volume and surface-area formulas for prisms, cylinders, triangular prisms, pyramids, and cones. Students select formulas and calculated measures, including answers expressed with π and appropriate square or cubic units. The worksheet helps students distinguish between two- and three-dimensional measures while applying the correct formula to different solid figures. It is suitable for geometry practice, guided review, independent work, or a quick check of formula fluency. A complete answer key is included so teachers can review students’ choices and identify whether errors come from selecting a formula, applying a factor such as ⅓, or confusing volume with surface area.

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Worksheets

Volume and Surface Area of Solids

Total questions: 12

Name
Class
Date
1.
What is the volume of a prism?  
a)
V=B⋅H, where B=area of base
b)
V=⅓⋅B⋅H
c)
V=πr²h
d)
V=½⋅b⋅h
2.
What is the volume of a cylinder?  
a)
V=⅓⋅πr²h
b)
V=2πr²+2πrh
c)
V=πr²h
d)
V=½⋅b⋅h
3.
What is the volume of the prism?  
a)
V= 27 in3
b)
V= 336 in3
c)
V= 472 in3
d)
V= 672 in3
4.
What is the surface area of the prism?  
a)
SA = 236 in2
b)
SA = 472 in2
c)
SA = 672 in2
d)
SA = 336 in2
5.
What is the surface area of the triangular prism?  
a)
SA = 600 cm2
b)
SA = 540 cm2
c)
SA = 1080 cm2
d)
SA = 300 cm2
6.
What is the volume of the triangular prism?  
a)
V = 600π cm3
b)
V = 600 cm3
c)
V = 540π cm3
d)
V = 540 cm3
7.
What is the volume of the pyramid?  
a)
V = 1152 ft3
b)
V= 1440 ft3
c)
V = 384 ft3
d)
V = 576 ft3
8.
What is the surface area of the pyramid?  
a)
SA = 384 ft2
b)
SA = 1152 ft2
c)
SA = 576 ft2
d)
SA = 1400 ft2
9.
Find the surface area of the cylinder.  
a)
SA = 250π in2
b)
SA = 250 in2
c)
SA = 150π in2
d)
SA = 150 in2
10.
Find the volume of the cylinder.  
a)
V = 150π in3
b)
V = 50π in3
c)
V = 250π in3
d)
V = 125π in3
11.
Find the volume of the cone.  
a)
V = 405π cm3
b)
V = 324π cm3
c)
V = 972π cm3
d)
V = 1215π cm3
12.
What is the surface area of the cone?
a)
SA = 405π cm2
b)
SA = 135π cm2
c)
SA = 324π cm2
d)
SA = 216π cm2
Answer Key

Volume and Surface Area of Solids

Total questions: 12

1.
a) V=B⋅H, where B=area of base
2.
c) V=πr²h
3.
d) V= 672 in3
4.
b) SA = 472 in2
5.
a) SA = 600 cm2
6.
d) V = 540 cm3
7.
c) V = 384 ft3
8.
a) SA = 384 ft2
9.
c) SA = 150π in2
10.
c) V = 250π in3
11.
b) V = 324π cm3
12.
d) SA = 216π cm2

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FAQs

What does the Volume and Surface Area of Solids worksheet cover?

This Grade 9–12 geometry worksheet uses 12 multiple-choice questions to practise selecting and applying volume and surface-area formulas for prisms, cylinders, triangular prisms, pyramids, and cones. Students identify formulas such as V = B⋅H and V = πr²h, then use solid-specific measurements to choose calculated answers with square or cubic units.

How can I use this worksheet to teach volume and surface area of solids?

Introduce the worksheet by having students sort the formulas for volume and surface area by solid, then model how the base area, height, radius, or slant-related dimensions affect the calculation. As students complete the multiple-choice items, ask them to explain why a prism or cylinder formula differs from the ⅓ factor used for a pyramid or cone and whether each answer should use square or cubic units.

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

Watch for students choosing a surface-area formula when the question asks for volume, or selecting a volume formula when it asks for surface area. Common distractors also target missed ⅓ factors for pyramids and cones, incorrect use of π in cylinder and cone answers, and confusion between square units for surface area and cubic units for volume.

How do I assign and grade this Volume and Surface Area of Solids 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 12 multiple-choice questions. You can grade printable submissions by scanning student work with the Wayground for Teachers app, while the digital quiz can be assigned through Wayground for online responses.

How can I differentiate this worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the 12 multiple-choice questions and formula notation easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping the prism, cylinder, pyramid, and cone practice intact.

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 support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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