This free printable worksheet helps students distinguish surface area from volume for cubes and rectangular prisms. Across 16 multiple-choice questions, students identify the meaning of each measurement, select the volume formula l × w × h, determine the number of faces on a cube, and calculate surface area or volume from given dimensions and figures. Questions also reinforce the difference between square units for surface area and cubic units for volume.
Designed for mathematics instruction and review, this worksheet gives students repeated practice interpreting dimensions and choosing the correct operation for three-dimensional figures. It includes an answer key for efficient checking, reteaching, or independent practice. Teachers can use the questions to identify whether students need support with formulas, computation, geometric vocabulary, or matching measurements to the correct units.
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Worksheets
Surface Area and Volume of a Rectangular Prism
Total questions: 16
Name
Class
Date
1.
Is surface area.......
a)
Filling in a 3 dimensional shape
b)
wrapping the outside of a 3 dimensional shape
2.
Find the surface area of the rectangular prism.
a)
94 cm. squared
b)
60 cm. squared
c)
12 cm. squared
d)
19 cm. squared
3.
Find the volume of the figure?
a)
460 cm 3
b)
660 cm 3
c)
60 cm 3
d)
360 cm 3
4.
Find the Volume
a)
428.4 cm3
b)
412.8 cm3
c)
404.2 cm3
d)
400 cm3
5.
Find the volume of the figure.
a)
100 cm³
b)
91 cm³
c)
819 cm³
d)
550 cm³
6.
To find the volume of a figure you need to use which of the following formulas?
a)
l x w
b)
l x w x h
c)
1/2 x b x h
d)
2l x 2w x 2h
7.
How many faces are on a cube?
a)
3
b)
4
c)
5
d)
6
8.
Find the surface area of the cube.
a)
150 cm2
b)
125 cm2
c)
60 cm2
d)
30 cm2
9.
Find the surface area of the rectangular prism.
a)
140 in.2
b)
83 in.2
c)
166 in. 2
d)
100 in.2
10.
What is the volume?
a)
72 cubic units
b)
27 cubic units
c)
1.5 cubic units
d)
272 cubic units
11.
Find the surface area of the rectangular prism with the following dimensions: length = 9 m height = 10 m width = 12 m
a)
630 m squared
b)
636 m squared
c)
710 m squared
d)
1080 m squared
12.
Which statement is true?
a)
Surface area is the are of the base of a container.
b)
Surface area is the measurement of the space inside of a container
c)
Volume is the measure of the amount a container can hold
d)
Volume is the areas of the surfaces of a container added together.
13.
Which statement is true?
a)
Surface area is the areas of all of the surfaces of a container.
b)
Volume is the distance around the container.
c)
Surface area is the measure of the space inside of a container.
d)
Volume is the area of the base of a container
14.
What is the volume? length=2 units width=2 units height=3 units
a)
Volume = 12 cubic units
b)
Volume = 7 cubic units
c)
Volume = 223 cubic units
d)
Volume = 8 cubic units
15.
When finding Surface Area which type of units could be on the end of your answer?
a)
mm
b)
cm2
c)
in3
d)
ft4
e)
minion8
16.
How much gift wrap is needed to wrap a gift 5 inches long, 8 inches wide and 10 inches tall?
a)
80 in2
b)
340 in2
c)
400 in2
d)
160 in2
Answer Key
Surface Area and Volume of a Rectangular Prism
Total questions: 16
1.
b) wrapping the outside of a 3 dimensional shape
2.
a) 94 cm. squared
3.
d) 360 cm 3
4.
a) 428.4 cm3
5.
c)
819 cm³
6.
b)
l x w x h
7.
d) 6
8.
a) 150 cm2
9.
c) 166 in. 2
10.
b) 27 cubic units
11.
b) 636 m squared
12.
c)
Volume is the measure of the amount a container can hold
13.
a)
Surface area is the areas of all of the surfaces of a container.
14.
a) Volume = 12 cubic units
15.
b)
cm2
16.
b) 340 in2
140 %
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FAQs
What does this surface area and volume worksheet cover?
This worksheet uses 16 multiple-choice questions to help students distinguish surface area from volume and calculate each for cubes and rectangular prisms. Students identify the volume formula l × w × h, use dimensions to solve, recognize that a cube has six faces, and select square units for surface area and cubic units for volume.
How can I use this worksheet to teach surface area and volume?
Begin by reviewing the meanings of surface area as the total area covering the outside of a solid and volume as the amount a container can hold. Then model how to use length, width, and height to calculate volume and how to check whether an answer should use square or cubic units before students complete the multiple-choice calculation and vocabulary items.
What mistakes should I watch for when students complete this worksheet?
Watch for students confusing surface area with volume, choosing l × w instead of l × w × h for volume, or adding dimensions rather than calculating the requested measure. Students may also select incorrect units, such as cubic units for surface area, or overlook one of a rectangular prism’s faces when reasoning about surface area.
How do I assign and grade this surface area and volume worksheet?
This worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the 16 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital version can be assigned for online completion.
How can I differentiate this surface area and volume worksheet for my students?
Under the worksheet’s Advanced Settings, adjust font spacing or font size to make the multiple-choice formulas, dimensions, and answer choices easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those options better support access to the surface area and volume 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, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.