IXL | Surface area of cylinders

A cylinder is shown below.

Which diagram is a net for the cylinder?

What is the surface area of the cylinder?

Write your answer as a decimal rounded to the nearest tenth.

about square feet

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question

A cylinder is shown below.

Which diagram is a net for the cylinder?

What is the surface area of the cylinder?

Write your answer as a decimal rounded to the nearest tenth.

about square centimeters

key idea

A net shows all the faces of a three-dimensional figure.

A cylinder has two circular bases and a curved lateral surface that wraps around the bases and unrolls to form a rectangle. Its surface area is the sum of the areas of all three surfaces.

solution

Three surfaces make up the cylinder:

two circular bases, each with a radius of 5 centimeters
one curved lateral surface that wraps around the bases and unrolls to form a rectangle with a width of 8 centimeters

The length of the rectangular surface is equal to the circumference of the bases.

(

)

This is a net for the cylinder. It shows all of the surfaces and, when folded up, will form the cylinder.

To find the surface area of the cylinder, add up the areas of all three surfaces.

There are two circular bases, each with a radius of 5 centimeters. Find the area of one of them.

≈

(

3.14

)

(

)

≈

(

3.14

)

(

)

≈

78.5

square centimeters

There is one curved lateral surface that wraps around the bases and unrolls to form a rectangle. Its length is

centimeters and its width is 8 centimeters. Find its area.

(

)

(

)

≈

(

)

(

3.14

)

(

)

≈

3.14

(

)

≈

251.2

square centimeters

Finally, find the sum of the areas of the two circular bases and the rectangular lateral surface.

(

78.5

)

251.2

408.2

The surface area of the cylinder is about 408.2 square

centimeters.

Looking for more? Try these:

Lesson: Surface area formulas

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BB.6Area of circles

Lesson: Surface area formulas

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