Surface Area

Calculate the surface area of the given solid shapes.

Level 1Level 2Level 3FormulasVolumeDescriptionMore 3D

This is level 1; Find the surface area of simple compound shapes. The diagrams are not to scale.

 Each of the yellow cubes in the diagram have edges 1cm long. What is the total surface area of the cuboid they are part of? cm2 Each of the yellow cubes in the diagram have edges 1cm long. What is the total surface area of the shape they are part of? cm2 Each of the yellow cubes in the diagram have edges 1cm long. What is the total surface area of the shape they are part of? cm2 Each of the yellow cubes in the diagram have edges 1cm long. What is the total surface area of the shape they are part of? cm2 Each of the cubes in the diagram have edges 2cm long. What is the total surface area of the shape they are part of? cm2 Each of the cubes in the diagram have edges 3cm long. What is the total surface area of the shape they are part of? cm2 What is the surface area of a cuboid of length 10cm, width 7cm and height 6cm? cm2 Calculate the total surface area of this shape in square centimetres. cm2 Calculate the total surface area of this shape in square centimetres. cm2 A lump of clay is in the shape of a cuboid with dimensions 8cm, 16cm and 23cm. A cube shaped piece of clay is removed from one of the corners as shown. What is the surface area of the shape that remains? cm2
Check

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

Please contact me if you have any suggestions or questions.

More Activities:

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 14 October 'Starter of the Day' page by Inger Kisby, Herts and Essex High School:

"Just a quick note to say that we use a lot of your starters. It is lovely to have so many different ideas to start a lesson with. Thank you very much and keep up the good work."

Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy:

"I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson."

Tran Towers

A mathematical adventure game in the enigmatic home of Transum. Create your own map as you go deeper and deeper into this maze of rooms looking for the clues to find the treasure room.

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now:

Subscribe

Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

For Students:

For All:

Description of Levels

Close

Level 1 - Find the surface area of simple compound shapes.

Level 2 - Use a formula to find the surface area of standard solid shapes.

Level 3 - Exam-type questions on mensuration.

You could also try the Volume exercise.

Volume Formulas

Cube: $$6s^2$$ where $$s$$ is the length of one edge.

Cuboid: $$2(lw + lh + wh)$$ where $$l$$ is the length, $$w$$ is the width and $$h$$ is the height of the cuboid.

Cylinder: $$2\pi rh + 2\pi r^2$$ where $$h$$ is the height (or length) of the cylinder and $$r$$ is the radius of the circular end.

Cone: $$\pi r(r+\sqrt{h^2+r^2})$$ where $$h$$ is the height of the cone and $$r$$ is the radius of the circular base.

Square based pyramid: $$s^2+2s\sqrt{\frac{s^2}{4}+h^2}$$ where $$h$$ is the height of the pyramid and s is the length of a side of the square base.

Sphere: $$4\pi r^2$$ where $$r$$ is the radius of the sphere.

Prism: Double the area of the cross section added to the product of the length and the perimeter of the cross section.

Close