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

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

Kira's lunch box is 7.5 in long, 3 in wide and 5 in tall. It rattles a little. What is its surface area in square inches?
Milo's cheese wedge is a prism 5 cm long. Its end is a right triangle: legs 9 and 12, long side 15 cm. Lots of holes. What is its surface area in square cm?
Pia's camping tent is a prism 7 ft long. Its end is a triangle: base 6, height 4, two slanted sides of 5 ft. Campfire nearby. What is its surface area in square feet?
Ren's paper tent is a prism 8 in long. Its end is a triangle: base 9, height 6, two slanted sides of 7.5 in. Tape holds it. What is its surface area in square inches?
Ari's storage box is a prism 5 in long. Its end is a trapezoid: parallel sides 11.5 and 8.5, height 4, slanted side 5 in. Socks inside. What is its surface area in square inches?
Bo's castle roof has a base of 15 cm by 6 cm and a height of 4 cm. A flag waves. What is its surface area in square cm?
Luz's gift box is 5 in long, 4 in wide and 3 in tall. Luz makes the height twice as tall. Bigger boxes mean bigger bows. What is its new surface area in square inches?
8.
Noah wants to wrap a gift box in paper. The ribbon is extra curly. Which measure tells how much paper covers it?
- Length of one edge, in cm
- Surface area, in square cm
- Volume, in cubic cm
9.
Ren paints the outside of a wooden block. It has a golden star. Which measure tells how much surface the paint covers?
- Surface area, in square inches
- Perimeter of one face, in inches
- Volume, in cubic inches
10.
Tala wants to know how much a lunch box can hold. Snacks are on the way. Which measure is that?
- Length of the longest edge, in cm
- Volume, in cubic cm
- Surface area, in square cm

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

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