Exploring Scale Drawings in Math

This video tutorial by Mr. Decatus covers lesson 7.5 on scale drawings and models. It explains how to enlarge or reduce drawings proportionally, using examples like maps and Earth's layers. The tutorial demonstrates calculating actual distances using map scales and finding scale factors for models. It emphasizes understanding the concept of scale and proportions in both two-dimensional drawings and three-dimensional models.

What is the primary difference between a scale drawing and a scale model?

• Scale models are not proportional.

• Scale drawings can only represent objects, not areas.

• Scale drawings are two-dimensional, while scale models are three-dimensional.

• Scale drawings are three-dimensional, while scale models are two-dimensional.

If a map uses a scale of 1 inch equals 10 miles, how many miles would 3 inches represent?

• 30 miles

• 3 miles

• 13 miles

• 300 miles

What does a scale of 1:50 mean in the context of maps?

• 1 unit in reality represents 50 units on the map

• 1 unit on the map represents 50 units in reality

• The map is 50 times larger than reality

• The map is 50 times smaller than reality

What does the phrase 'as the crow flies' mean in terms of distance measurement?

• The distance following roads and usual paths.

• The direct distance between two points, ignoring any obstacles.

• The distance a crow can fly before needing to rest.

• The distance one can walk in a straight line without obstacles.

Using a scale of 1 cm equals 50 miles, what is the actual distance if the map shows 5 cm?

• 100 miles

• 55 miles

• 250 miles

• 500 miles

How thick would the liquid outer core of a model Earth be if the actual thickness is 2300 km and the scale is 1 inch to 500 km?

• 0.46 inches

• 460 inches

• 4.6 inches

• 23 inches

In a scale of 1 inch equals 500 kilometers, how many kilometers would 3 inches on the model represent?

• 300 kilometers

• 500 kilometers

• 150 kilometers

• 1500 kilometers

What is the scale factor if the model is 1 inch and the actual size is 120 inches?

• 120 to 1

• 1 to 12

• 12 to 1

• 1 to 120

If a scale model of a monument is 10 inches tall and the actual monument is 100 feet tall, what is the simplified scale in feet per inch?

• 10 feet per inch

• 1 foot per inch

• 100 feet per inch

• 0.1 feet per inch

What unit conversion is necessary to find the scale factor when comparing inches to feet?

• Convert feet to inches

• Convert inches to yards

• Convert inches to feet

• No conversion is necessary