Transum Software

Volume

Calculate the volumes of the given solid shapes.

Level 1 Level 2 Level 3 Formulas Surface Area Description More 3D

This is level 1; Find the volume of basic solid shapes. Give non-exact answers correct to the nearest whole number of the indicated units. The diagrams are not to scale.

Shape1 Find the volume of a cube if the length of each side is 8cm.

Working:

cm3 Correct Wrong
Shape2 Find the volume of this cuboid if:
AB = 29cm, BC = 35cm and CD = 33cm.

Working:

cm3 Correct Wrong
Shape3 Find the volume of this cylinder if the radius of the circular top is 35cm and its height is 36cm.

Working:

cm3 Correct Wrong
Shape4 Find the volume of a cone if the radius of the circular base is 35cm and the height is 30cm.

Working:

cm3 Correct Wrong
Shape5 Find the volume of a sphere with a diameter of 84cm.

Working:

cm3 Correct Wrong
Shape6 Find the volume of a triangular prism if the area of its cross section is 44cm2 and its length is 42cm.

Working:

cm3 Correct Wrong
Shape7 Find the volume of a cylinder if the diameter of the circular end is 70cm and its length is 36cm.

Working:

cm3 Correct Wrong
Shape8 Find the volume of a square based pyramid if the length of a side of the square base is 40cm and the height is 39cm.

Working:

cm3 Correct Wrong
Shape9 The cross section of a prism is a right angled triangle as shown in the diagram. Calculate the volume of the prism if AB = 39cm, BC = 41cm and CD = 31cm.

Working:

cm3 Correct Wrong
Shape10 The cross section of a prism is an 'L-shaped' as shown in the diagram.
     Calculate the volume of the prism if:
     AB = 40cm, BC = 37cm, CD = 5cm,
     DE = 14cm and AF = 14cm.

Working:

cm3 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.

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.

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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:

David Whitaker, Princes Risborough

Wednesday, May 4, 2016

"I have been trying to work out the solutions to the level 1 questions on the volumes of cylinders, cones and spheres, but have been unsuccessful despite entering various values for pi. Can you advise what value I should use.
Thank You

[Transum: Typically the value of pi stored on your calculator (roughly 3.141592) should be used for those questions and did you notice the instruction at the top of the page that stated 'Give non-exact answers correct to the nearest whole number of the indicated units'?]"

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Description of Levels

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Level 1 - Find the volume of basic solid shapes.

Level 2 - Find the volume of compound solid shapes.

Level 3 - Exam-type questions on mensuration.

You could also try the Surface Area exercise.

Volume Formulas

Cube: \(s^3\) where \(s\) is the length of one edge.

Cuboid: \(l\times w\times h\) where \(l\) is the length, \(w\) is the width and \(h\) is the height of the cuboid.

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

Cone: \(h \times \frac13 \pi r^2\) where \(h\) is the height of the cone and \(r\) is the radius of the circular base.

Square based pyramid: \(h \times \frac13 s^2\) where \(h\) is the height of the pyramid and s is the length of a side of the square base.

Sphere: \(\frac43 \pi r^3\) where \(r\) is the radius of the sphere.

Prism: Area of the cross section multiplied by the length of the prism.

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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