Question

15

Answer 1

Answer:

$Model = 80cm$

Step-by-step explanation:

Given

$Length = 19.2\ m$

$Scale=1:24$

Required

Determine the scale measurement in centimeters

The scale can be represented as: $Model : Actual$

$Scale = Model : Actual$

Substitute 19.2 for Actual Length

$Scale = Model : 19.2\ m$

Represent as a fraction

$Scale = \frac{Model}{19.2m}$ --- (1)

Recall that:

$Scale=1:24$

Represent as a fraction

$Scale = \frac{1}{24}$ --- (2)

Equate (1) & (2)

$\frac{Model}{19.2m} = \frac{1}{24}$

Multiply through by 19.2m

$Model = \frac{1}{24} * 19.2m$

$Model = \frac{ 19.2m}{24}$

Convert to centimeter

$Model = \frac{ 19.2 * 100cm}{24}$

$Model = \frac{ 1920cm}{24}$

$Model = 80cm$

Hence, the length of the scale model is 80 cm