Transum Software

Surface Area

Calculate the surface area of the given solid shapes.

Level 1 Level 2 Level 3 Formulas Volume Description More 3D

This is level 2; Use a formula to find the surface area of standard solid shapes. The diagrams are not to scale.

Shape1 Find the surface area of a cube if the length of each side is 5.8cm. Give your answer to the nearest square centimetre. cm2 Correct Wrong
Shape2 Find the surface area of this cuboid if AB = 25cm, BC = 33cm and CD = 30cm. cm2 Correct Wrong
Shape3 Find the surface area of this solid cylinder if the radius of the circular top is 42cm and its height is 45cm. Give your answer to the nearest square centimetre. cm2 Correct Wrong
Shape4 Find the surface area of a solid cone if the radius of the circular base is 25cm and the length of the sloping side is 34cm. Give your answer to the nearest square centimetre. cm2 Correct Wrong
Shape5 Find the surface area of a sphere with a diameter of 76cm. Give your answer to the nearest square centimetre. cm2 Correct Wrong
Shape6 Find the surface area of a triangular prism if the area of its cross section is 10cm2, its length is 41cm and the 3 sides of the triangular ends add up to 15. cm2 Correct Wrong
Shape7 Find the surface area of a solid cylinder if the diameter of the circular end is 74cm and its length is 41cm. Give your answer to the nearest square centimetre. cm2 Correct Wrong
Shape8 Find the surface area of a square based pyramid if the length of a side of the square base is 6cm and the area of each triangular face is 37cm2. cm2 Correct Wrong
Shape9 The cross section of a prism is a right angled triangle as shown in the diagram. Calculate the surface area of the prism if AB = 16cm, BC = 15cm and CD = 20cm. cm2 Correct Wrong
Shape10 The cross section of a prism is an 'L-shaped' as shown in the diagram. Calculate the surface area of the prism if AB = 37cm, BC = 37cm, CD = 9cm, DE = 9cm and AF = 12cm. cm2 Correct Wrong
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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.

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Description of Levels

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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.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

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