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Volume and Surface Area of Prisms and Pyramids - Printable Math Worksheets 7th Grade - Wayground

Volume and Surface Area of Prisms and Pyramids

Erin Edwards

Created by Erin Edwards

15 questions

7th Grade

Math

Updated Sept 2026

Volume and Surface Area of Prisms and Pyramids is a Grade 7 mathematics worksheet that gives students 15 multiple-choice questions on identifying formulas, calculating volume, and finding surface area. Problems include rectangular and triangular prisms, triangular and rectangular pyramids, a square-pyramid net, lateral surface area, missing dimensions, equation selection, rounding, and correct cubic or square units. Several items place the geometry in contexts such as wrapping paper, a souvenir stone, a science-fair model, and a cereal box. This free printable worksheet helps students choose the appropriate prism or pyramid formula, calculate triangular base areas, apply the one-third factor for pyramids, and distinguish total or lateral surface area from volume. It is suitable for guided practice, independent review, or a quick Grade 7 assessment after instruction. A complete answer key is included so teachers can check students’ multiple-choice responses and address calculation or formula-selection errors efficiently.

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Volume and Surface Area of Prisms and Pyramids

Total questions: 15

Name
Class
Date
1.
What is this the formula for? Volume of ____________
What is this the formula for?
Volume of ____________
a)
Prisms
b)
Pyramids
c)
Cones
d)
Spheres
2.
Find the volume of the Rectangular Prism.
Find the volume of the Rectangular Prism.
a)
1120 ft²
b)
2011 ft³
c)
120 ft³
d)
1120 ft³
3.
Find the volume of the Triangular Pyramid. Round to the nearest whole number.
Find the volume of the Triangular Pyramid. Round to the nearest whole number.
a)
317 units³
b)
635 units³
c)
1,904 units³
d)
890 units³
4.
Find the surface area of this triangular prism.

Find the surface area of this triangular prism.

a)

546 mm2

b)

585 mm2

c)

705 mm2

d)

624

5.
Question Image
a)
29 cm2
b)
912 cm2
c)
348 cm2
d)
438 cm2
6.
A square pyramid is covered with decorative wrapping paper with no overlap. The net of the box is shown on the right. How…
A square pyramid is covered with decorative wrapping paper with no overlap.  The net of the box is shown on the right.  How many square centimeters of wrapping paper are needed to cover the surfaces of the box? 
a)
108 cm2
b)
324 cm2
c)
180 cm2
d)
432 cm2
7.
On a trip to Oregon, Sabrina bought a small stone in the shape of a square pyramid as a souvenir. Determine the volume of…
On a trip to Oregon, Sabrina bought a small stone in the shape of a square pyramid as a souvenir. Determine the volume of the stone. Round to the nearest tenth. 
a)
4.5 in ³
b)
6 in ³
c)
6.75 in ³
d)
1.5 in ³
8.
Valeria created a triangular pyramid as part of her science fair project. The triangular base has a height of 8 cm and a…

Valeria created a triangular pyramid as part of her science fair project. The triangular base has a height of 8 cm and a length of 6 cm. The height of the pyramid is 12 cm. Determine the volume of Valeria's pyramid.

a)

288 cm3

b)

192 cm3

c)

576 cm3

d)

96 cm3

9.
A pyramid with a triangular base is being used as a paperweight. The area of the base is 32 cm 2 . Determine the height of…

A pyramid with a triangular base is being used as a paperweight. The area of the base is 32 cm2. Determine the height of the pyramid if the volume is 80 cm3.

a)

2.5 cm

b)

5.2 cm

c)

7.5 cm

d)

8 cm

10.
What is this the formula for? Volume of ____________
What is this the formula for?
Volume of ____________
a)
Pyramids
b)
Spheres
c)
Prisms
d)
Cylinders
11.
Which equation can be used to find the volume of this figure?
Which equation can be used to find the volume of this figure?
a)
Vol = (8 x 7) (13)
b)
Vol = (8 x 13) ( 7)
c)
Vol = (1/2 x 8 x 13) (7)
d)
Vol = (1/2 x 8 x 7) (13)
12.
A cereal box is 12cm tall.  The area of the base is 7cm.  What is the volume?
a)
84 cm2
b)
84 cm3
c)
83 cm
d)
84
13.
Find the volume of Rectangular Pyramid.
Find the volume of Rectangular Pyramid.
a)
190cm3
b)
200cm3
c)
140cm3
d)
192cm3
14.
Find the lateral surface area of the rectangular prism. The bases of the prisms are noted with a "B".
Find the lateral surface area of the rectangular prism. The bases of the prisms are noted with a "B".  
a)
72 square cm
b)
36 square cm
c)
12 square cm
d)
18 square cm
15.

V = ½⋅l⋅w⋅h

a)
Triangular Prism
b)
Trapezoid
c)
Sphere
d)
Square Pyramid
WaygroundAnswer Key

Volume and Surface Area of Prisms and Pyramids

Total questions: 15

1.
a) Prisms
2.
d) 1120 ft³
3.
a) 317 units³
4.
d)

624

5.
d) 438 cm2
6.
c) 180 cm2
7.
d) 1.5 in ³
8.
d)

96 cm3

9.
c)

7.5 cm

10.
a) Pyramids
11.
d) Vol = (1/2 x 8 x 7) (13)
12.
b) 84 cm3
13.
d) 192cm3
14.
b) 36 square cm
15.
a) Triangular Prism

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FAQs

What does the Volume and Surface Area of Prisms and Pyramids worksheet cover?

This Grade 7 worksheet uses 15 multiple-choice questions to practise identifying prism and pyramid formulas, calculating volume, and finding surface area from figures, nets, and real-world situations. Students work with rectangular and triangular prisms, triangular and rectangular pyramids, missing dimensions, lateral surface area, rounding, and square or cubic units.

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

Begin by reviewing how a prism’s volume uses base area times height and how a pyramid’s volume includes the one-third factor. Then have students explain why each selected formula fits the figure, especially for triangular bases and the square-pyramid wrapping-paper net. Use the word problems and equation-selection items to connect the formulas to dimensions, units, and practical contexts.

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

Watch for students using a prism formula for a pyramid or forgetting the one-third factor in pyramid-volume problems. They may also omit the one-half factor when finding a triangular base area, confuse lateral surface area with total surface area, or report square units for volume instead of cubic units. Rounding errors may appear in the triangular-pyramid and souvenir-stone questions.

How do I assign and grade this 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 format can also support schools that are reducing screen time.

How can I differentiate this prisms and pyramids worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so formula-identification questions, diagrams, and multi-step volume problems are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while preserving its multiple-choice format and geometry 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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