Lesson 4: Conversions Between SI and Imperial - Capacity and Volume Conversions Examples 3 and 4


EXAMPLE 3

A snowmobile has an engine size of 600 cubic centimetres. What is the volume in cubic inches?

Solution


\(\begin{align} \frac{y}{600\,\text{cm}^3}&=\frac{1\,\text{in}^3}{16.39\,\text{cm}^3} \\ \\ \frac{y}{\cancel{600\,\text{cm}^3}}\times {\color{red}{\cancel{600\,\text{cm}^3}}}&=\frac{1\,\text{in}^3}{16.39\cancel{\text{cm}^3}}\times {\color{red}{600\cancel{\text{cm}^3}}} \\ \\ y&=\frac{1\,\text{in}^{3}\times 600}{16.39} \\ \\ y&=\frac{600\,\text{in}^3}{16.39} \\ \\ y&=36.6\,\text{in}^3 \\ \end{align}\)

The volume of the snowmobile engine is approximately 36.6 in3.

   Multimedia


A video demonstrating volume conversion between the SI and Imperial systems is provided.



EXAMPLE 4

The volume of a heavy duty hauler used in the oil sands is 350 cubic yards. What is the volume in cubic metres?

Solution


\(\begin{align} \frac{y}{350\,\text{yd}^3}&=\frac{1\,\text{m}^3}{1.308\,\text{yd}^3} \\ \\ \frac{y}{\cancel{350\,\text{yd}^3}}\times {\color{red}{\cancel{350\,\text{yd}^3}}}&=\frac{1\,\text{m}^3}{1.308\cancel{\text{yd}^3}}\times {\color{red}{350\cancel{\text{yd}^3}}} \\ \\ y&=\frac{1\,\text{m}^{3}\times 350}{1.308} \\ \\ y&=\frac{350\,\text{m}^3}{1.308} \\ \\ y&=267.6\,\text{m}^3 \\ \end{align}\)

The volume of the heavy duty hauler is approximately 267.6 m3.


Now, it is your turn! Complete the questions in your Chapter 5, Lesson 4 Practice Makes Perfect that refer to Capacity and Volume Conversions.



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