Question

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 milliliters. What is the actual height in meters?

Answer 1

The actual height is 4.896 m

Explanation:

Given

`Ratio= 1 : 48`

`Scale\ Height = 102mm`

Required

Determine the actual height in metres

Represent the actual height with x.

So, the ratio of Scale Height to Actual Height as:

`Ratio = 102mm : x`

To calculate x, both ratios must be equal

`1 :48 = 102mm:x`

Convert to fraction

`(1)/(48) = (102mm)/(x)`

Cross Multiply

`x * 1 = 48 * 102mm`

`x = 4896mm`

Convert mm to metres

`x = 4896 * 0.001m`

`x = 4.896m`

The actual height is 4.896 m