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

Shape1 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 Correct Wrong
Shape2 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 Correct Wrong
Shape3 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 Correct Wrong
Shape4 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 Correct Wrong
Shape5 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 Correct Wrong
Shape6 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 Correct Wrong
Shape7 What is the surface area of a cuboid of length 10cm, width 7cm and height 6cm? cm2 Correct Wrong
Shape8 Calculate the total surface area of this shape in square centimetres. cm2 Correct Wrong
Shape9 Calculate the total surface area of this shape in square centimetres. cm2 Correct Wrong
Shape10 A lump of clay is in the shape of a cuboid with dimensions 5cm, 13cm and 21cm. 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 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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