AC9M9M01Year 9MeasurementPractised on site

AC9M9M01 — Year 9 Measurement

Official Curriculum Content Description:

solve problems involving the volume and surface area of right prisms and cylinders using appropriate units

Worked Examples (2)

Example 1Volume & Surface Area of Prisms & Cylinders

A rectangular prism has length

2\text{ cm}

, width

15\text{ cm}

, and height

5\text{ cm}

. Calculate its total surface area.

Common mistake: Calculating volume instead of total surface area (

150\text{ cm}^2

Correct Answer:

230\text{ cm}^2

Accepted: A unit is optional (cm^2, cm², sq cm all accepted).

Worked Solution:

1. Formula:

A = 2(lw + wh + lh)

. 2. Calculate face areas:

lw = 30

wh = 75

lh = 10

. 3. Total surface area:

2 \times (30 + 75 + 10) = 230\text{ cm}^2

Example 2Volume of Rectangular Prisms

A rectangular prism is

3

cm by

4

cm by

6

cm. What is its volume?

Common mistake: Found only length x width, forgetting to multiply by the height.

Correct Answer:

72\text{ cm}^3

Accepted: A unit is optional (cm^3, cm³, cu cm all accepted).

Worked Solution:

Volume

= \text{length} \times \text{width} \times \text{height} = 3 \times 4 \times 6 = 72\text{ cm}^3

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