Scale Drawings/Similar Shapes

Front

What is a scale drawing?

Back

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

Front

What does the term 'scale' mean in the context of drawings?

Back

In drawings, 'scale' refers to the ratio of the size of the drawing to the size of the actual object. For example, a scale of 1 inch = 10 feet means that 1 inch on the drawing represents 10 feet in reality.

Front

How do you calculate the height of a model using a scale?

Back

To calculate the height of a model, multiply the actual height by the scale factor. For example, if the actual height is 300 ft and the scale is 1 inch = 10 ft, the model height would be 300 ft / 10 ft/in = 30 inches.

Front

If a drawing has a scale of 1 in = 7 ft, how wide is a backyard that is 49 ft wide in the drawing?

Back

To find the width in the drawing, divide the actual width by the scale factor: 49 ft / 7 ft/in = 7 inches.

Front

What is the actual distance if 3.5 inches on a map represents a scale of 2 in = 300 miles?

Back

To find the actual distance, first determine how many sets of 2 inches are in 3.5 inches: 3.5 in / 2 in = 1.75. Then multiply by 300 miles: 1.75 * 300 miles = 525 miles.

Front

What is the formula to find the scale factor?

Back

The scale factor can be found using the formula: Scale Factor = Size on Drawing / Actual Size.

Front

What is the importance of using scale drawings?

Back

Scale drawings are important because they allow for accurate representation of large objects or spaces in a manageable size, making it easier to visualize and plan.

Front

How do you convert a scale drawing back to actual size?

Back

To convert a scale drawing back to actual size, multiply the dimensions on the drawing by the scale factor.

Front

What is a similar shape?

Back

Similar shapes are figures that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

If a model is 20 inches tall and the actual object is 50 inches tall, what is the scale?

Back

The scale can be calculated as: Scale = Model Height / Actual Height = 20 in / 50 in = 2/5 or 1:2.5.