PencilGo

Grade 7 · Math

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

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version
Print

Surface area from a net: prisms and pyramids

Grade 7 Math Worksheet - Building Confidence

NameDate

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

  1. Read this first

    Use this

    Grid, each square 0.5 in by 0.5 in. The net of the box: a row of four rectangles (3 by 1.5, 2 by 1.5, 3 by 1.5, 2 by 1.5) with a 3 by 2 rectangle joined above and another below.

  2. Ari's gift box is 3 in long, 2 in wide and 1.5 in tall. Its net has six rectangles. The ribbon is extra curly. What is its surface area in square inches?

  3. Use this

    The net of the box: a row of four rectangles (2.5 by 3, 2 by 3, 2.5 by 3, 2 by 3) with a 2.5 by 2 rectangle joined above and another below.

  4. Bo's storage box is 2.5 in long, 2 in wide and 3 in tall. Its net has six rectangles. It hides a lot of socks. What is its surface area in square inches?

  5. Esme's wooden block is 3.5 cm long, 1 cm wide and 2 cm tall. Its net has six rectangles. It has survived many towers. What is its surface area in square cm?

  6. Use this

    The net: a row of three rectangles (6 by 6, 6 by 8, 6 by 10) with a triangle (sides 6, 8, 10) joined above and another below.

  7. Kira's toy ramp is a triangular prism 6 in long. Each end covers 24 square inches; its sides are 6, 8, 10 in. Zoom zoom. What is its surface area in square inches?

  8. Milo's snack wedge is a triangular prism 3 in long. Each end covers 13.5 square inches; its sides are 4.5, 6, 7.5 in. It vanishes fast. What is its surface area in square inches?

  9. Use this

    Grid, each square 1 in by 1 in. The net: a row of four rectangles (3 by 6, 3 by 4, 3 by 3, 3 by 5) with a trapezoid (parallel sides 6 and 3, height 4, slanted side 5) joined above and another below.

  10. Noah's craft box is a prism 3 in long. Each end covers 18 square inches; its sides are 6, 3, 4, 5 in. Glitter everywhere. What is its surface area in square inches?

  11. Use this

    Grid, each square 0.5 in by 0.5 in. The net: a row of four rectangles (4 by 3, 4 by 2, 4 by 1.5, 4 by 2.5) with a trapezoid (parallel sides 3 and 1.5, height 2, slanted side 2.5) joined above and another below.

  12. Ren's toy cart basket is a prism 4 in long. Each end covers 4.5 square inches; its sides are 3, 1.5, 2, 2.5 in. Squeaky wheels. What is its surface area in square inches?

  13. Tala's model recycling bin is a prism 2 in long. Each end covers 22 square inches; its sides are 7, 4, 4, 5 in. It is tidy. What is its surface area in square inches?

  14. Zee's castle tower roof has a base of 16 by 5 cm. Two faces cover 52 square cm each; two cover 25 square cm each. Flag up. What is its surface area in square cm?

  15. Ari's castle tower roof has a base of 16 by 9 cm. Two faces cover 60 square cm each; two cover 45 square cm each. What is its surface area in square cm?

PencilGopencilgo.com

7th grade Surface area from a net: prisms and pyramids worksheet – printable
Print: 123456

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

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records

Ready for easier practice?

Print a sheet, scan it when it’s done, and PencilGo picks the next one.

Create a free account