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Surface Area of Prisms and Pyramids - Printable Mathematics Worksheets year 7 - Wayground

Surface Area of Prisms and Pyramids

22 questions

7th - 7th Grade

Mathematics

Surface Area of Prisms and Pyramids is a free printable Grade 7 mathematics worksheet that develops students’ ability to identify three-dimensional solids from nets, recognize their bases, and calculate total surface area. Students work with cubes, rectangular prisms, triangular prisms, square pyramids, and triangular pyramids, using measurements in centimeters, feet, and meters. The worksheet contains 22 questions: 21 multiple-choice items and one multiple-select item. Problems include interpreting nets, finding the surface area of individual solids, and applying surface-area reasoning to a wrapping-paper context. The varied examples help students connect the faces and bases of a solid to the total area being calculated. This worksheet includes a complete answer key and is suitable for independent practice, review, homework, or a Grade 7 math assessment.

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Surface Area of Prisms and Pyramids

Total questions: 22

Name
Class
Date
1.
What 3D solid does this net create?
a)
Rectangular Prism
b)
Rectangular Pyramid
c)
Cube
d)
Square Prism
2.
What shape is the base of this figure?
a)
Rectangle
b)
Triangle
c)
Square
d)
Trapezoid
3.
What 3D figure does this net form?
a)
Triangular Prism
b)
Triangular Pyramid
c)
Rectangular Pyramid
4.
What shape is the base of this figure?
a)
Triangle
b)
Rectangle
c)
Square
5.

Determine the total surface area of the figure.

a)

96 cm2

b)

84 cm2

c)

144 cm2

6.

Find the total surface area of the cube.

a)

1600 ft2

b)

8000 ft2

c)

120 ft2

d)

2400 ft2

7.

Find the total surface area of the rectangular prism.

a)

77 cm2

b)

17 cm2

c)

7 cm2

d)

70 cm2

8.

Find the total surface area of the figure formed by the net.

a)

40 cm2

b)

48 cm2

c)

52 cm2

d)

62 cm 2

9.

Find the total surface area of the shape below.

a)

258 m2

b)

268 m2

c)

248 m2

d)

280 m2

10.

What is the total surface area of the triangular prism shown?

a)

960 cm2

b)

448 cm2

c)

256 cm2

d)

544 cm2

11.

If each side has a measurement of 6 cm, what is the total surface area?

a)

216 cm2

b)

36 cm2

c)

12 cm2

d)

90 cm2

12.
What 3D solid does this net create?
a)
Triangular Pyramid
b)
Triangular Prism
c)
Square Pyramid
d)
Square Prism
13.
What 3D solid does this net create?
a)
Triangular Prism
b)
Triangular Pyramid
c)
Triangular Sphere
d)
Triangular Polygon
14.
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
15.

Find the total surface area of the following triangular pyramid.

Each triangle is congruent, with a base of 7 ft. and a height of 6ft.

a)

168 ft²

b)

126 ft²

c)

84 ft²

d)

42 ft²

16.
Find the total surface of the figure. (all triangles are congruent)
a)
30 in2
b)
15 in2
c)
45 in2
d)
60 in2
17.

Which of the following measures could represent the surface area of a solid?

a)

Centmeters

b)

Inches

c)

Feet Squared

d)

Yards

18.

Choose the solid this net will form

a)

rectangular prism

b)

square pyramid

c)

pentagonal pyramid

d)

triangular prism

19.

Prisms are made up of

a)

triangular faces

b)

rectangular faces

20.

What is the name of this polyhedra?

a)

Rectangular Prism

b)

Triangular Prism

c)

Rectangular Pyramid

d)

Triangular Pyramid

21.

Which polyhedron can be assembled from this net?

a)

Cube

b)

Rectangular Prism

c)

Rectangular Pyramid

22.

For each of these nets, decide if it can be assembled into a rectangular prism.

a)
b)
c)
d)
Answer Key

Surface Area of Prisms and Pyramids

Total questions: 22

1.
a) Rectangular Prism
2.
a) Rectangle
3.
a) Triangular Prism
4.
a) Triangle
5.
a)

96 cm2

6.
d)

2400 ft2

7.
a)

77 cm2

8.
c)

52 cm2

9.
b)

268 m2

10.
d)

544 cm2

11.
a)

216 cm2

12.
c) Square Pyramid
13.
b) Triangular Pyramid
14.
c) 180 cm2
15.
c)

84 ft²

16.
d) 60 in2
17.
c)

Feet Squared

18.
b)

square pyramid

19.
b)

rectangular faces

20.
b)

Triangular Prism

21.
b)

Rectangular Prism

22.
c)

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FAQs

What does this surface area worksheet cover?

This Grade 7 worksheet practices identifying rectangular prisms, triangular prisms, square pyramids, and triangular pyramids from their nets, then calculating the total surface area of cubes, prisms, and pyramids. Its 21 multiple-choice questions and one multiple-select question require students to connect each solid’s faces and bases to the area of its entire surface, including a wrapping-paper application.

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

Begin by having students identify the solid and its base from each net before they calculate any area. Model how a net displays every face, then ask students to label the dimensions and add the areas of the bases and lateral faces. Use the wrapping-paper problem to discuss why covering a solid with no overlap requires the total surface area, not just the area of one face.

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

Watch for students misidentifying a net, especially confusing a triangular prism with a triangular pyramid or overlooking the base shape. In the calculation items, students may count only the lateral faces, use the area of one face instead of the total, or select an answer with incorrect square units. Check that they include all faces shown by the net and apply the appropriate dimensions to each face.

How do I assign and grade this surface area worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for checking the 22 responses. For printable submissions, you can grade student work by scanning it with the Wayground for Teachers app. The PDF option can also support schools that are reducing screen time.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or font size so the net diagrams, measurements, and answer choices are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language. These options can make the surface-area calculations and solid-identification items more accessible without changing the skills assessed.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad 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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