# Problem solving with volumes of prisms

Last updated: 15/11/2023
Contributor: Teachit Author
Main Subject
Key stage
Category
Geometry and measures: Volume and surface area
Inside
Resource type
Student activity
Maths
Problem solving

A problem-solving activity using volumes of prisms and cylinders, plus constructing and solving simple equations.

Students are shown prisms and a cylinder with measurements given either numerically or as unknowns x, y and z.

They must use the information to form and solve simple equations to find all the unknowns as well as the radius of the cylinder.

Students can then create their own prism with the same volume to go in the empty box.

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### All reviews

Have you used this resource?

Hi Peter, thanks for your comment, the height is designed to be 6z (z is calculated from another solid and is 1/2) so the height of the cylinder is 3, the radius can then be calculated from the known volume.

Nicola Trubridge

14/07/2021

Great resource but I think there is a small error on how prism D is labelled.. i think that the height should just be "Z cm" and the radius should be 6cm, (or vice versa)

Peter Barresi

18/03/2021

01/05/2019

Excellent resource, great extension activity for my Year 10 class. Thank you.

Lucy Whitehouse

19/03/2019

Hi Peter, thanks for your comment, the height is designed to be 6z (z is calculated from another solid and is 1/2) so the height of the cylinder is 3, the radius can then be calculated from the known volume.

Nicola Trubridge

14/07/2021

Great resource but I think there is a small error on how prism D is labelled.. i think that the height should just be "Z cm" and the radius should be 6cm, (or vice versa)

Peter Barresi

18/03/2021

01/05/2019

Excellent resource, great extension activity for my Year 10 class. Thank you.

Lucy Whitehouse

19/03/2019

Excellent resource, great extension activity for my Year 10 class. Thank you.

Lucy Whitehouse

19/03/2019

19/03/2019

14/01/2019