Grade 7 · Math

7th grade Surface area of a cylinder 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

Surface area of a cylinder

Grade 7 Math Worksheet - Building Confidence

NameDate

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

Ari's can opens out into two circles and a rectangle. Each circle is 12.56 square cm, and the rectangle is 75.36 square cm. What is the surface area in square cm?
Bo's jar opens out into two circles and a rectangle. It is spotless. Each circle is 28.26 square cm, and the rectangle is 150.72 square cm. What is the surface area in square cm?
Esme's candle opens out into two circles and a rectangle. Each circle is 12.56 square cm, and the rectangle is 175.84 square cm. What is the surface area in square cm?
Jun's drum opens out into two circles and a rectangle. Each circle is 314 square cm, and the rectangle is 502.4 square cm. What is the surface area in square cm?
Milo's jar has a radius of 3 cm. Its side unrolls into a rectangle 18.84 cm wide, the distance around, and 8 cm tall. What is the area of the side in square cm?
Noah's drum has a radius of 4 cm. Its side unrolls into a rectangle 25.12 cm wide, the distance around, and 10 cm tall. What is the area of the side in square cm?
Pia's candle has a radius of 5 cm. Its side unrolls into a rectangle 31.4 cm wide, the distance around, and 11 cm tall. What is the area of the side in square cm?
Ren's mug has a radius of 6 cm. Its side unrolls into a rectangle 37.68 cm wide, the distance around, and 7 cm tall. What is the area of the side in square cm?
Tala's can has two flat ends, each a circle with a radius of 3 cm. What is the area of both ends together in square cm? Use π = 3.14. Do not round.
Ari's drum has two flat ends, each a circle with a radius of 5 cm. What is the area of both ends together in square 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

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