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7th grade Surface area of a cylinder worksheet

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Surface area of a cylinder

Grade 7 Math Worksheet

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

  1. Esme's can has a radius of 4 cm and is 11 cm tall. What is its surface area in square cm, both ends and the side? Use π = 3.14. Do not round.

  2. Jun's jar has a radius of 6 cm and is 15 cm tall. What is its surface area in square cm, both ends and the side? Use π = 3.14. Do not round.

  3. Milo's can is 10 cm across and 11 cm tall. What is its surface area in square cm, both ends and the side? Use π = 3.14. Do not round.

  4. Ren's candle is 6 cm across and 15 cm tall. What is its surface area in square cm, both ends and the side? Use π = 3.14. Do not round.

  5. Tala's can has a radius of 3 cm and is 5 cm tall. What is its surface area in terms of π? Write it like 14π.

  6. Ari's drum has a radius of 5 cm and is 8 cm tall. What is its surface area in terms of π? Write it like 14π.

  7. Bo's can has a radius of 7 cm and is 9 cm tall. Which expression gives its surface area in square cm, both ends and the side? Use π = 3.14.

    • 2 × 3.14 × 7 × 7 + 2 × 3.14 × 7 × 9
    • 3.14 × 7 × 7 + 2 × 3.14 × 7 × 9
    • 3.14 × 7 × 7 × 9
    • 2 × 3.14 × 7 × 9

  8. Jun's candle has a radius of 4 cm and is 13 cm tall. Which expression gives its surface area in square cm, both ends and the side? Use π = 3.14.

    • 3.14 × 4 × 4 + 2 × 3.14 × 4 × 13
    • 2 × 3.14 × 4 × 4 + 2 × 3.14 × 4 × 13
    • 2 × 3.14 × 4 × 13
    • 3.14 × 4 × 4 × 13

  9. A label wraps once around the side of Luz's jar, radius 4.5 cm and height 12 cm. What is the label's area in square cm? Use π = 3.14. Do not round.

  10. A label wraps once around the side of Milo's drum, radius 10 cm and height 12 cm. What is the label's area in square cm? Use π = 3.14. Do not round.

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7th grade Surface area of a cylinder worksheet – printable
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About this worksheet

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

What your child will learn

  • I can open a cylinder into its net: two circles and a rectangle as wide as the distance around, and add their areas to find the surface area.
  • I can tell what a story needs covered: the whole outside, only the curved side (a label), or an open cylinder's bottom and side.
  • I can write the surface area in terms of π or as a decimal with π = 3.14, work back to a height, and use an area in a real problem.

Standard: state-only (CCSS K–8 names volume of cylinders, 8.G.C.9, not surface area)

Words to know

cylinder: A solid with two matching flat circles for ends and a round side, like a can.

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

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

circumference (distance around): The distance around the edge of a circle, 2 × 3.14 × radius.

radius: The distance from the middle of a circle to its edge. It is half a diameter.

diameter: The distance all the way across a circle, through the middle.

pi (π): The number of diameters that fit around any circle: about 3.14.

Common mistakes

Your child counted only one circular end of the cylinder.

Your child found the area of the curved side and left out the flat circles.

Your child found the volume instead of the surface area.

What to say

Ask: how many flat circles does a can have?

Ask: when we cover the whole can with paper, which parts need paper?

Ask: are we covering the outside or filling the inside?

Questions parents ask

What is the most common mistake with surface area of a cylinder?

Your child counted only one circular end of the cylinder.

How can I help my child with surface area of a cylinder?

Ask: how many flat circles does a can have?

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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