Lesson Notes By Weeks and Term v4 - SHS 2

Lesson Video

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Performance objectives

• Define and differentiate between volume and capacity.
• Calculate the volume of various 3D shapes.
• Convert volume measurements between units like cm³ and liters.
• Solve real-life problems involving volume and capacity.

Lesson summary

Measurement is a fundamental part of our daily lives in Ghana. From buying a gallon of fuel for the generator, to checking the capacity of a Polytank for storing water, or even measuring ingredients for a recipe, we are constantly dealing with volume and capacity. This lesson will equip you with the mathematical skills to understand, calculate, and convert between different units of measurement for 3-dimensional objects. Mastering these skills is essential for making informed decisions in construction, cooking, commerce, and many other fields. We will explore the difference between the space an object occupies (its volume) and how much it can hold (its capacity).

Lesson notes

2.1 Volume vs. Capacity

These two terms are often used interchangeably, but they have distinct meanings in mathematics. Volume: This refers to the amount of three-dimensional space an object *occupies*. Everything that has length, width, and height has a volume. A solid block of wood has volume. The water inside a bottle has volume. Capacity: This refers to the maximum amount of substance (usually a liquid or gas) that a container can *hold*. Only hollow objects have capacity. A bottle, a bucket, a fuel tank, or a room has a capacity.

Analogy: Imagine a bottle of FanYogo. The amount of FanYogo currently inside the bottle is its volume. The total amount of FanYogo the bottle *could possibly hold* when filled to the brim is its capacity.

Let's summarise the key differences:

Evaluation guide

• Solve problems that involve SI and imperial units in volume and capacity measurements.
• Using Talk for Learning strategy, engage learners to e xplain, using examples, the difference
• between volume and capacity.
• Bring learners’ attention to the fact that as differences exist between volume and capacity , which are