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

Answer:

The actual height is 4.896 m

Step-by-step 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

$\frac{1}{48} = \frac{102mm}{x}$

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