Grade 7 · Math

7th grade Surface area from a net: prisms and pyramids worksheet

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Surface area from a net: prisms and pyramids

Grade 7 Math Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

Ari's toy crate has no lid. It is 12 in long, 8 in wide and 4 in tall. Toys are waiting. How much paper covers its outside, in square inches?
Sketch, not to scale. Bo's recipe box has no lid. It is 7.5 cm long, 4 cm wide and 3 cm tall. It is a tidy box. How much paper covers its outside, in square cm?
Kira's lunch box is 7 in long, 2.5 in wide and 6 in tall. A label wraps around the four sides only. The stripe is purple. What is the label's area in square inches?
Milo's playhouse roof is a triangular pyramid with a right-triangle base: legs 9 and 12 cm. The tip is 3 cm high. A chimney peeks out. What is its surface area in square cm?
Pia paints the whole outside of a gift box: 12 in by 8 in by 5 in. It will look great. How much area does the paint cover, in square inches?
Tala paints the whole outside of a lunch box: 8 in by 3 in by 7 in. Stickers are everywhere. How much area does the paint cover, in square inches?
Bo wants to know how much a lunch box holds. It is 8 in by 4 in by 6 in. It is very roomy. What is its volume in cubic inches?
Esme's toy block is a cube with edges of 3 cm. Esme makes every edge 2 times as long. It is a bigger block now. What is its new surface area in square cm?
Kira's toy block is a cube with edges of 4 cm. Kira makes every edge 3 times as long. It has a golden star. What is its new surface area in square cm?
Luz's storage box is 9 in long, 6 in wide and 4 in tall. Luz makes the height half as tall. A bit squat. What is its new surface area in square inches?

7th grade Surface area from a net: prisms and pyramids worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Surface area of prisms and pyramids. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can open a prism or a pyramid into its net, find the area of every face and add them, counting both matching ends.
I can tell when a story needs surface area (covering the outside) and when it needs volume (filling the inside).
I can say how the surface area changes when one edge doubles or halves by redrawing the net, and I know area grows by the factor times itself.

Standard: 7.G.B.6 (prisms)

Words to know

net: A flat pattern that folds up into a solid with no gaps or overlaps.

face: One flat side of a solid.

surface area: The total area of all the faces: the paper needed to cover the outside.

lateral area: The area of the sides only, without the top and bottom (or the two ends).

prism: A solid with two matching ends and rectangle sides.

pyramid: A solid with one flat base and triangle faces that meet at a point.

face height (slant): The height of a triangle face, measured along the face. It leans, so it is longer than how tall the pyramid stands.

square centimeter (inch, foot): The area of a square 1 centimeter (inch, foot) on each side.

Common mistakes

Your child counted one face of each matching pair. Open a cereal box flat together and count the faces: six, in three pairs.

Your child multiplied the three edges, which gives the space inside, not the paper outside. Wrap a small box together and count the faces the paper touches.

Your child added up all the faces, which gives the paper outside, not the space inside. Fill a small box with cubes together and count the layers.

Questions parents ask

What is the most common mistake with surface area from a net: prisms and pyramids?

Your child counted one face of each matching pair. Open a cereal box flat together and count the faces: six, in three pairs.

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

See all grade 7 math

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