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Scale Drawings and Models


Leonardo da Vinci was commissioned to construct a huge bronze horse for the Duke of Milan. Unfortunately, he died before he could complete it.

Five hundred years later, master sculptor Nina Akamu created an 8-foot clay model from da Vinci’s sketches. The model was then enlarged by sections to become the 24-foot Il Cavallo—the largest bronze horse in the world.

A scale drawing or scale model is used to represent an object that is too large or too small to be drawn or built at actual size. The scale is the ratio of a length on the drawing or model to the corresponding length of the real object.

The scale is 1 foot = 3 feet or 1:3.

If the scale uses the same units, it is not necessary to include them.

 

One of the most common types of scale drawings is a map.

 

Example

Map Link

 

1.  The scale on a map of Texas is 1 inch = 50 miles. Find the actual distance between Dallas and Houston if the distance between them on the map is 4.5 inches.

 

Alternative Solutions :

 

Use the scale and the distance given on the map to write a proportion.

 

The distance between Dallas and Houston is about 225 miles.

 

You can determine the scale if you know the dimensions of the model and the dimensions of the actual object.

 

Example

Movie Link

 

2.  The ship Titanic, which sank in 1912, was 880 feet long. When a movie was made about it more than 80 years later, a 44-foot-long model of the ship was created for special effects shots. Find the scale that was needed to design other parts of the model.

 

Alternative Solutions :

 

Write the ratio of the length of the model to the length of the ship.

Then solve a proportion in which the length of the model is 1 foot and the length of the ship is x feet.

 

The scale is 1 foot = 20 feet or 1:20.

 

 

Sumber

Labels: Mathematician

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