The purpose of this activity is to engage students in using volume/capacity calculations to solve a problem.

To solve this problem, the students will need to calculate the capacity of a box from the dimensions given and to use this in order to solve a problem. The dimensions have been given in cm, so it is expected that the capacity will be found in cm³. The activity ideally follows exploration and learning in the following areas.

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The activity should be sufficiently open ended to allow the students freedom of choice in their approach. It may be scaffolded with guidance that leads to a solution, and/or the students might be given the opportunity to solve the problem independently. The approach should be chosen in sympathy with their skills and preferred method of solution.

Josh has a box with dimensions 40 cm x 30 cm x 30 cm full of jelly beans.

To hide them from his sister, he needs to put them in the back of a cupboard where there is a space with a base area of 25 cm x 35 cm.

If he is to make a new box to fit all the jelly beans in, to hide them in this space, what is the **minimum** height this box should be?

### The arithmetic approach (show more)

- The student is able to calculate the capacity of a box and to use this value to solve a problem to find an unknown height.

### The conceptual approach (show more)

- The student is able to find a method of solution that will allow him/her to find an unknown dimension of a container, within the context and specifications given.