MEASUREMENT Modelling Practical Situations What do we mean

MEASUREMENT Modelling Practical Situations

What do we mean? An important aspect of this topic is that we can take the skills we have learnt so far and apply them to practical situations. Calculations such as • Perimeter • Area • Surface area • Volume • Capacity • Rates • Conversions between units

Example A fishtank is to be made of glass sheets, and is open at the top. It is a cuboid shape, its length is 75 cm, its width is 40 cm, and its height is 50 cm. The tank is to be filled four fifths with water. 1. Calculate the area of glass required for the fish tank in cm 2. 2. Calculate the volume of water in the tank in both mls, and to the nearest L. 3. If the tap dispenses water at a rate of 6 L / min, how long would it take to fill? 4. All the joins between glass surfaces need to be siliconed to stop the water from leaking. If a 15 gm tube of silicone covers a length of 1. 8 m, how many tubes would I have to buy? 5. I want to make a trapezoidal shaped tank of the same height, and volume, with the base 2/3 of the top length, what could be an optimal width?

Practical Situations Process The first thing you should do is carefully read the problem, and note down what measurements you are given. Then, write down what you are being asked to do. Now, try to form a connection between these, so you can formulate a methodical or systematic approach to solve. Always if possible make a drawing. For merit or excellence, you will need to justify all your decisions, and your choices with sound, factual statements in the context of the question.