Ratio, SM-Bank 042

The scale on a map is \(1:10\ 000\).

For each of these scaled distances, find the actual distances in kilometres.

\(3\ \text{cm}\) (1 mark)

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\(8\ \text{mm}\) (1 mark)

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\(24.3\ \text{cm}\) (1 mark)

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Show Answers Only

a. \(300\ \text{m or } 0.3\ \text{km}\)

b. \(80\ \text{m or } 0.08\ \text{km}\)

c. \(2430\ \text{m or } 2.43\ \text{km}\)

Show Worked Solution

a.	\(\text{Actual Distance}\)	\(=3\ \text{cm}\times 10\ 000 \)
		\(= 30\ 000\ \text{cm}\)
		\(=300\ \text{m}=0.3\ \text{km}\)

b.	\(\text{Actual Distance}\)	\(=8\ \text{mm}\times 10\ 000 \)
		\(= 80\ 000\ \text{mm}\)
		\(=80\ \text{m}=0.08\ \text{km}\)

c.	\(\text{Actual Distance}\)	\(=24.3\ \text{cm}\times 10\ 000 \)
		\(= 243\ 000\ \text{cm}\)
		\(=2430\ \text{m}\)
		\(=2.43\ \text{km}\)