Question

The model of a ship shown is of height \[3.5cm\] . The actual height of the ship is \[210cm\] if the scale chosen is \[1:60\] .

A.True
B.False

Answer 1

Hint: A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount is called the scale. The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing.

Complete step-by-step answer:
Scaling is a drawing method used to enlarge or reduce a drawing in size while keeping the proportions of the drawing the same.
Scaling is used either to reduce the drawing in size so that it will fit onto the page or enlarge the drawing in size so that all details are clearly visible.
Drawings can be scaled up or down using either a calculator or a scale rule.
To scale a drawing using a calculator, divide the measurement by the scale if you want to reduce the drawing in size or multiply the measurement by the scale if you want to increase it in size.
To scale a drawing using a scale rule:
Scale rules allow us to directly set out measurements onto a drawing without having to convert them to their scaled sizes by using a calculator first.The whole process is made easier because these conversions are already made for us. On a scale rule which has divisions of \[1:5\] , each division represents \[5mm\] and the measurements on the rule indicate this.
We know that Scale \[ = \dfrac{{shown\;height}}{{actual\;height}}\]
We are given that shown height \[ = 3.5cm\]
Actual height \[ = 210cm\]
Now putting the values in the above formula we get ,
Scale \[ = \dfrac{{3.5}}{{210}} = \dfrac{1}{{60}}\]
Hence the ratio is \[1:60\] .
Therefore the statement is true.
Therefore option (A) is the correct answer.
So, the correct answer is “Option A”.

Note: Scaling is a drawing method used to enlarge or reduce a drawing in size while keeping the proportions of the drawing the same. Scaling is used either to reduce the drawing in size so that it will fit onto the page or enlarge the drawing in size so that all details are clearly visible.