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Surface area of a cone - Printable Math Worksheets 8th Grade - Wayground

Surface area of a cone

Christopher Mullen

Created by Christopher Mullen

12 questions

8th Grade

Math

Updated Oct 2026

This free printable Grade 8 mathematics worksheet helps students calculate the surface area of cones using the formula SA = πr² + πrl. Students identify the correct cone formula, distinguish the base-area and lateral-area terms, and solve numerical problems using radius and slant height. Several items require answers in terms of π, while others require rounding to the nearest tenth and using appropriate square units. The 12-question set includes 10 multiple-choice questions, one fill-in-the-blank item, and one multiple-select question. It includes examples with measurements in meters, feet, yards, and centimeters, as well as an item requiring students to convert a diameter to a radius before calculating. Designed for Grade 8 math practice, this free printable worksheet includes a complete answer key for checking student understanding of cone surface-area calculations.

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Surface area of a cone

Total questions: 12

Name
Class
Date
1.

 SA = πr2+πrlSA\ =\ \pi r^2+\pi rl  is the formula for which of the following:

a)

Surface area of a cone

b)

Surface area of a pryamid

c)

Surface area of a sphere

d)

Surface area of a cube

2.
Find the total surface area of the cone. Round to the nearest tenth.

Find the total surface area of the cone. Round to the nearest tenth.

a)

37.7 m²

b)

50.3 m²

c)

75.4 m²

d)

25.1 m²

3.

Find the surface area of a cone with a radius 4ft and a slant height as 6ft. Leave your answer in term of π. 
SA= B + LA

a)

 24π ft224\pi\ ft^2  

b)

 12πft212\pi ft^2  

c)

 40πft240\pi ft^2  

d)

 30πft230\pi ft^2  

4.
Find the surface area

Find the surface area

a)

1276.3m2

b)

824.7m2

c)

1649.3m2

d)

3534.3m2

5.
Find the surface area of the cone. Leave your answer in terms of pi.

Find the surface area of the cone. Leave your answer in terms of pi.

a)

12π m²

b)

16π m²

c)

24π m²

d)

8π m²

6.

Find the surface area of a cone with a radius 1cm and a slant height as 10cm. Leave your answer in term of π.

SA= B + LA

(a)  

7.
Find the surface area

Find the surface area

a)

252.58 yd2

b)

163.2 yd2

c)

365.68 yd2

d)

157.2 yd2

8.

Find the surface area of a cone with a radius 2ft and a slant height as 8ft. Leave your answer in term of π. 
SA= B + LA

a)

 20π ft220\pi\ ft^2  

b)

 16πft216\pi ft^2  

c)

 25πft225\pi ft^2  

d)

 80πft280\pi ft^2  

9.
Find the surface area

Find the surface area

a)

164.9yd2

b)

329.9yd2

c)

612.6yd2

d)

227.8yd2

10.
Find the total surface area of the cone. Don't forget to divide the diameter by 2 to find the radius. Round to the nearest…

Find the total surface area of the cone. Don't forget to divide the diameter by 2 to find the radius. Round to the nearest tenth.

a)

1158.5 sq. m

b)

1287.2 sq. m

c)

1007.9 sq. m

d)

1462 sq. m

11.

Which parts of the following are in the Surface area of a cone formula?

a)

 πr2\pi r^2  

b)

 s2s^2  

c)

 12bh\frac{1}{2}bh  

d)

 πrl\pi rl  

e)

 lwlw  

12.

Find the surface area of a cone with a radius 15cm and a slant height as 5cm. Leave your answer in term of π. 
SA= B + LA

a)

 75πcm275\pi cm^2  

b)

 1125πcm21125\pi cm^2  

c)

 300πcm2300\pi cm^2  

d)

 20πcm220\pi cm^2  

e)

 225πcm2225\pi cm^2  

WaygroundAnswer Key

Surface area of a cone

Total questions: 12

1.
a)

Surface area of a cone

2.
b)

50.3 m²

3.
c)

 40πft240\pi ft^2  

4.
a)

1276.3m2

5.
b)

16π m²

6.
11π cm^2, 11π , 11pi cm^2, 11pi
7.
c)

365.68 yd2

8.
a)

 20π ft220\pi\ ft^2  

9.
d)

227.8yd2

10.
d)

1462 sq. m

11.
d)

 πrl\pi rl  

, a)

 πr2\pi r^2  

12.
c)

 300πcm2300\pi cm^2  

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FAQs

What does this surface area of a cone worksheet cover?

This Grade 8 worksheet builds fluency with the cone surface-area formula, SA = πr² + πrl, by asking students to identify its parts and use radius and slant height to calculate total surface area. Its 12 items include multiple-choice, fill-in-the-blank, and multiple-select formats, with practice leaving answers in terms of π, rounding to the nearest tenth, and reporting square units.

How can I use this worksheet to teach surface area of a cone?

Introduce the formula by having students label πr² as the circular base area and πrl as the lateral area, then model how the two parts are added. Use the formula-identification and multiple-select items to check whether students recognize both terms before assigning the numerical problems, including examples that require converting diameter to radius and deciding whether to leave π exact or round the result.

What mistakes should I watch for when students complete this cone surface-area worksheet?

Watch for students using the diameter as the radius, omitting the base term πr², or substituting a height for the slant height in the lateral-area term πrl. Students may also choose only one formula term in the multiple-select item, forget square units, or round answers that the question asks them to leave in terms of π.

How do I assign and grade this surface area of a cone worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for all 12 cone surface-area items. For printable submissions, you can grade student work by scanning it with the Wayground for Teachers app.

How can I differentiate this surface area of a cone worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the formula-identification, multiple-choice, and calculation items are easier to read. You can also apply a dyslexia-friendly font or translate the cone surface-area worksheet into another language when those options support your learners.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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