3.20 To investigate and approximate

Mathematics

Measurement and time

Length

Educator section

Memorandum

Leaner section

Content

Activity: to solve problems in context [lo 1.6.2]

1. Your educator will provide the required paper. Examine the diagram below and copy it exactly. Try to construct your own cube from this.

• You now have a container with the following measurements:

1 cm by 1 cm by 1 cm

• We therefore say that the volume of the container is:

1 cm × 1 cm × 1 cm = 1 cm3

(one cubic centimetre)

volume = length × width × height

2. How many of these boxes (of 1 cm ³ ) will you need to build a cube of 8 cm ³ ? (2 cm × 2 cm × 2 cm)

2.1 8 cm3 = (2 cm × 2 cm × 2 cm): ___________________ cubes

2.2 27 cm3 = (3 cm × 3 cm × 3 cm): __________________ cubes

2.3 64 cm3 = (4 cm × 4 cm × 4 cm): __________________ cubes

2.4 125 cm3 = (5 cm × 5 cm × 5 cm): _________________ cubes

Assessment

Learning Outcome 4: The learner will be able to use appropriate measuring units, instruments and formulae in a variety of contexts.

Assessment Standard 4.8: We know this when the learner investigates and approximates (alone and/or as a member of a group or team):

4.8.3: volume/capacity of objects (by packing or filling them) in order to develop rules for calculating volume of rectangular prisms.