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# Josh's Jelly Beans' Box

Keywords:
Achievement Objectives:

Achievement Objective: GM4-1: Use appropriate scales, devices, and metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time.
AO elaboration and other teaching resources

Purpose:

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

Description of mathematics:

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.

Activity:

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?