Question 3 of 4intermediate🔧 ApplyNumerical2 marks

Convert 1:50,000 into a statement of scale.

Correct Answer

Given: R.F. = 1 : 50,000

Step 1: This means 1 unit on the map represents 50,000 units on the ground.

Step 2: Converting into statement of scale:

  • 1 cm on map = 50,000 cm on ground
  • 50,000 cm ÷ 100 = 500 metres

Statement of Scale: 1 cm represents 500 metres.

Exercise: Exercise B | Q: Exercise B - 1 | (Page 17)
For More Understanding

Explanation

The question requires converting a Representative Fraction (R.F.) into a statement of scale. The R.F. 1:50,000 means that 1 unit on the map equals 50,000 units on the ground. To express this as a statement of scale, we convert 50,000 cm into metres (50,000 ÷ 100 = 500 metres). Thus, the statement of scale is '1 cm represents 500 metres' or '1 cm to 500 m'.

Solution Steps

  1. Step 1: Understand that R.F. 1:50,000 means 1 unit on map = 50,000 units on ground

  2. Step 2: Convert 50,000 cm to metres: 50,000 ÷ 100 = 500 metres

  3. Step 3: Write statement of scale: 1 cm represents 500 metres