Scale Drawings, Shadow Problems, Unit Rate

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportionally reduced or enlarged to fit a specific size, maintaining the same ratios as the original.

Front

Define unit rate.

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you find the height of an object using shadows?

Back

You can use similar triangles to find the height of an object by setting up a proportion between the height of the object and the length of its shadow compared to another object with a known height and shadow length.

Front

If a tree is 72 feet tall and has a shadow of 12 feet, what is the height of a nearby tree with a 5-foot shadow?

Back

30 feet.

Front

What is the formula for calculating the length on a blueprint based on the actual dimensions?

Back

Length on blueprint = (Actual length / Scale factor).

Front

A rectangular garden is 45 ft wide and 70 ft long. If the width on a blueprint is 9 in, what is the length on the blueprint?

Back

14 in.

Front

What does a scale of 1:64 mean in a model?

Back

It means that 1 unit on the model represents 64 units in real life.

Front

If a Match Box car is 2.5 inches long and the scale is 1:64, how long is the actual car?

Back

160 inches.

Front

How do you set up a proportion to find distances on a map?

Back

Use the scale of the map to create a ratio comparing the map distance to the actual distance.

Front

Fairview and Rockville are 104 miles apart. How far apart are they on a map with a scale of 1 cm : 13 miles?

Back