Question

This weekend, Denise and her father are building a boat from a model kit. The kit uses a scale of 1 inch on the model to represent 20 inches on the actual boat.

A. True
B. False

Answer 1

The questions involve using scale factors to determine sizes of scaled-down models. Lengths are calculated by applying scale factors to the actual sizes and converting units where necessary.

Step-by-step explanation:

The subject of this question is Mathematics, specifically dealing with scale factors and measurement conversions. The questions require calculating the dimensions of various objects in scale models.

1. To find the length of Madeline's model boat, which uses a scale factor of 1/36, you would multiply the actual length (24 feet) by the scale factor, converting feet to inches first since the model's dimensions are in inches. Hence, the length in inches of the model boat is (24 feet * 12 inches/foot) * (1/36) = 8 inches.
2. If the scale factor was 1/72, the calculation for the model boat's length in inches would be (24 feet * 12 inches/foot) * (1/72) = 4 inches.
3. For Josh's scale drawing of a 2.5-meter pipe at 1/100 scale factor, the drawing's length would be 2.5 meters * 100 centimeters/meter * (1/100) = 2.5 centimeters.
4. Sydra's drawing of a housefly at a scale factor of 10 would result in a drawing length of 8 millimeters * 10 = 80 millimeters, or 8 centimeters when converted to centimeters.