Understanding Scale and Distance

The video tutorial covers section 7.5 on scale drawings and models. It explains how to enlarge or reduce drawings proportionally, introduces the concept of scale, and provides examples of calculating actual distances and model thicknesses using scale ratios. The tutorial includes practice exercises for students to apply their understanding.

What is a scale drawing?

• A drawing that is always smaller than the original.

• A drawing that is always larger than the original.

• A three-dimensional model of an object.

• A proportional two-dimensional representation of an object.

How is a scale model different from a scale drawing?

• A scale model is always larger.

• A scale model is a three-dimensional representation.

• A scale model is a two-dimensional representation.

• A scale model is always smaller.

What does the scale in a drawing or model represent?

• The ratio comparing the drawing or model to the actual object.

• The color of the drawing.

• The age of the object.

• The material used in the model.

If 1 inch on a map represents 10 miles in real life, what does this scale mean?

• 1 inch equals 20 miles.

• 1 inch equals 1 mile.

• 1 inch equals 5 miles.

• 1 inch equals 10 miles.

In Example 1, what is the actual distance between Cadillac and Detroit if the map distance is 3.5 cm and the scale is 1 cm = 50 miles?

• 150 miles

• 175 miles

• 200 miles

• 225 miles

What is the actual distance between Traverse City and Marquette if the map distance is 2 cm and the scale is 1 cm = 50 miles?

• 125 miles

• 100 miles

• 75 miles

• 50 miles

In Example 2, what is the thickness of the Earth's liquid outer core in the model if the actual thickness is 2,300 km and the scale is 1 inch = 500 km?

• 4.6 inches

• 5.6 inches

• 5.0 inches

• 4.0 inches

What is the scale used in Example 2 for the Earth's layers?

• 1 inch = 1000 km

• 1 inch = 500 km

• 1 inch = 2000 km

• 1 inch = 100 km

In Example 3, what is the thickness of the Earth's mantle in the model if the actual thickness is 2,900 km and the scale is 1 inch = 500 km?

• 5.8 inches

• 6.0 inches

• 5.5 inches

• 6.5 inches

What is the scale used in Example 3 for the Earth's mantle?

• 1 inch = 100 km

• 1 inch = 500 km

• 1 inch = 1000 km

• 1 inch = 2000 km