Understanding Density in the Context of Area

The video tutorial explains the concept of density as a quantity per unit area, using a football field example to illustrate the idea. It then presents a worked example involving the town of Tigersville, which has a population density of 13 cats per square kilometer. The tutorial guides viewers through calculating the area of an isosceles trapezoid representing the town and uses this to determine the total number of cats. The video concludes with a detailed calculation, resulting in a total of 1,872 cats in Tigersville.

What is density in the context of area?

• A measure of quantity per unit area

• A measure of weight per unit volume

• A measure of speed per unit time

• A measure of length per unit width

In the football field example, which field has a higher density of people?

• Density cannot be determined

• Both fields have the same density

• The field with 6 people

• The field with 3 people

What is the population density of Tigersville?

• 13 dogs per square kilometer

• 13 cats per square kilometer

• 13 people per square kilometer

• 13 birds per square kilometer

What shape is the town of Tigersville?

• A perfect isosceles trapezoid

• A perfect square

• A perfect circle

• A perfect rectangle

How far apart are the parallel boundaries of Tigersville?

• 8 kilometers

• 12 kilometers

• 24 kilometers

• 16 kilometers

What is the formula used to calculate the area of a trapezoid?

• Length times width

• Sum of all sides

• Height times the average of the two parallel sides

• Base times height

What is the area of Tigersville in square kilometers?

• 160 square kilometers

• 180 square kilometers

• 144 square kilometers

• 120 square kilometers

How do you calculate the total number of cats in Tigersville?

• Multiply the density by the perimeter

• Multiply the density by the area

• Divide the density by the area

• Add the density to the area

What is the total number of cats in Tigersville?

• 1300 cats

• 1440 cats

• 2000 cats

• 1872 cats

What happens to the units when calculating the total number of cats?

• They are squared

• They remain the same

• They cancel out

• They double