Grade 7 · Math

7th grade Surface area of a cylinder worksheet

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Surface area of a cylinder

Grade 7 Math Worksheet - Challenge Me

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

Sketch, not to scale. Use π = 3.14. Do not round. Pia covers the outside of an open mug with paper, bottom and side. The radius is 3 cm, and the height is 9 cm. How many square cm of paper does it need?
Sketch, not to scale. Its net has a circle and a rectangle. Do not round. Ren's mug is open at the top, with radius 5 cm and height 11 cm. How much foil covers its whole outside, in square cm? Use π = 3.14. Do not round.
Sketch, not to scale. Use π = 3.14. Do not round. Tala wraps an open mug in foil, bottom and side. The radius is 4.5 cm, and the height is 9 cm. How many square cm of foil does it need? Do not round.
Ari paints a whole jar, ends and side. The radius is 5 cm, the height is 14 cm, and each square cm needs 0.01 mL. How many mL of paint is that?
Bo paints a whole drum, ends and side. The radius is 10 cm, the height is 12 cm, and each square cm needs 0.01 mL. How many mL of paint is that?
Jun replaces a can with a taller one of the same radius, 4 cm. The height goes from 10 cm to 13 cm. How many more square cm of surface does the new one have?
Luz replaces a drum with a taller one of the same radius, 10 cm. The height goes from 6 cm to 9 cm. How many more square cm of surface does the new one have?
A label covers the whole side of Milo's can, 345.4 square cm in all. The radius is 5 cm. How tall is the can, in cm? Use π = 3.14. Do not round.
A label covers the whole side of Noah's jar, 251.2 square cm in all. The radius is 4 cm. How tall is the jar, in cm? Use π = 3.14. Do not round.
A label covers the whole side of Pia's drum, 263.76 square cm in all. The radius is 6 cm. How tall is the drum, in cm? Use π = 3.14. Do not round.

7th grade Surface area of a cylinder worksheet – printable — Print: 1 2 3 4 5 6

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

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