Chapter 6.6, Problem 1CYP

To determine

To find: The scale of a 5 inch modal pillar whereas actual such pillar of world war II memorial is 17 feet tall.

Answer to Problem 1CYP

Required scale of the model pillars is 0.0245.

Explanation of Solution

Given information: 

A model of a pillar is given as 5 inches and actual pillar, related to World War II memorial is given as 17 feet.

Concept used:

In similar objects, sizes are different, so the required scale is given as:

Scale of model pillars $=\frac{\text{Height of the model pillars}}{\text{Height of the actual pillars}}$

Further also use the conversion formula that,

  $1\text{ feet}=12\text{ inches}$

Calculation:

Based on above conversion formula, actual height of the pillars

  $=17\times 12=204$ Inches

So, required scale of modal pillars $=\frac{5}{204}=0.0245$

Conclusion: Based on above concept, the required scale is 0.0245 that means the height of model pillars is 0.0245 times smaller than the height of the actual pillars in the memorial.