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3D Figures, Nets, and Surface Area - Printable Mathematics Worksheets year 7 - Wayground

3D Figures, Nets, and Surface Area

12 questions

7th - 7th Grade

Mathematics

This Grade 7 mathematics worksheet helps students identify common three-dimensional figures and calculate their surface areas. Across 12 questions, students name cubes, rectangular prisms, triangular prisms, and rectangular pyramids; distinguish total surface area from lateral surface area; select the appropriate rectangle or triangle area formula; and solve numerical surface-area problems, including a square pyramid. The mixed format includes six multiple-choice questions, one dropdown item, and five fill-in-the-blank calculations. Use this free printable worksheet with students who are developing accuracy in recognizing 3D figures, identifying their faces and bases, and applying area formulas to surface-area problems. The varied question types provide both conceptual checks and opportunities to calculate values such as total and lateral surface area. A complete answer key is included, making the worksheet useful for guided practice, independent work, or a quick skills check.

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Worksheets

3D Figures, Nets, and Surface Area

Total questions: 12

Name
Class
Date
1.

What is the name of the 3D figure?

a)

Cube

b)

Rectangular Prism

c)

Triangular Prism

d)

Rectangular Pyramid

2.

True or False. To find the Total Surface Area, you find the area of each shape, including the base(s), and combine them.

a)

True

b)

False

3.

What is the name of the 3D figure?

a)

Square Pyramid

b)

Rectangular Prism

c)

Triangular Prism

d)

Rectangular Pyramid

4.

True or False. To find the Lateral Surface Area, you find the area of each shape including the area of the base(s), and combine them.

a)

True

b)

False

5.

What is the name of the 3D figure?

a)

Triangular Pyramid

b)

Rectangular Prism

c)

Triangular Prism

d)

Rectangular Pyramid

6.

What is the name of the 3D figure?

a)

Rectangular Prism

b)

Triangular Prism

c)

Rectangular Pyramid

d)

Triangular Pyramid

7.

To find the area of a ​ (a)   you use the formula A=bhA=bh and to find the area of a​ (b)   you use the formula A = 12bhA\ =\ \frac{1}{2}bh .

Choose from the below words
rectangle
triangle
8.

What is the Total Surface Area? (a)   ft2.ft^2.

9.

What is the total surface area of the square pyramid in square inches? (a)   in 2.in\ ^2.

10.

What is the lateral surface area of the figure? (a)   cm2.cm^2.

11.

What is the lateral surface area? (a)   in2.in^2.

12.

What is the total surface area? (a)   cm2.cm^2.

Answer Key

3D Figures, Nets, and Surface Area

Total questions: 12

1.
a)

Cube

2.
a)

True

3.
b)

Rectangular Prism

4.
b)

False

5.
c)

Triangular Prism

6.
c)

Rectangular Pyramid

7.
rectangle, triangle
8.
294
9.
208
10.
162, 1
11.
144
12.
193.2

FAQs

What does the 3D Figures, Nets, and Surface Area worksheet cover?

This Grade 7 worksheet combines identifying cubes, rectangular prisms, triangular prisms, and rectangular pyramids with calculating total and lateral surface area. Its six multiple-choice, one dropdown, and five fill-in-the-blank questions move students from recognizing solids and choosing rectangle or triangle area formulas to solving numerical surface-area problems.

How can I use this worksheet to teach total and lateral surface area?

Begin by having students name the solids shown in the multiple-choice items and identify which faces are bases. Then use the true-or-false questions to discuss that total surface area includes the bases, while lateral surface area does not, before modeling the rectangle and triangle area choices in the dropdown item. Students can finish by applying those ideas to the square-pyramid and other numerical calculations.

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

Watch for students confusing total surface area with lateral surface area, especially including the bases when answering a lateral-area question. Students may also misidentify a triangular prism or rectangular pyramid, choose the wrong area formula for a face, or enter an incorrect numerical value after combining the face areas. Ask them to label the bases and show which faces are included before calculating.

How do I assign and grade this 3D figures and surface-area 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 items. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or review responses through the digital version. The printable format can also support schools that are reducing screen time.

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 3D-figure labels, area prompts, and fill-in-the-blank calculations easier to read. You can also enable a dyslexia-friendly font or translate the worksheet’s instructions and questions into another language.

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.