Understanding Scale Factors

The video tutorial explains the concept of scale factors, including linear, area, and volume scale factors. It provides examples to illustrate how to calculate these factors and apply them to shapes. The tutorial also covers the use of scale factors in unit conversion within the metric system. The video concludes with a call to action for viewers to engage with the content.

What does a linear scale factor of 2 indicate about a shape?

• The shape's volume is doubled.

• The shape's area is doubled.

• The shape's size is doubled.

• The shape's size is halved.

If a shape is reduced by a linear scale factor of 0.5, what happens to its size?

• It remains the same size.

• It becomes twice as large.

• It becomes four times smaller.

• It becomes half its original size.

In the example with similar shapes, what is the enlargement scale factor used?

• 3

• 5

• 2

• 4

How is the area of a shape affected when its dimensions are enlarged by a scale factor of 2?

• The area is halved.

• The area remains the same.

• The area is quadrupled.

• The area is doubled.

What is the area of a rectangle enlarged by a scale factor of 5 if its original area is 10 cm²?

• 100 cm²

• 250 cm²

• 50 cm²

• 500 cm²

What happens to the volume of a cube when each edge is enlarged by a scale factor of 2?

• The volume remains the same.

• The volume is increased eightfold.

• The volume is quadrupled.

• The volume is doubled.

If a rectangular prism is enlarged by a scale factor of 5, what is the new volume if the original volume was 100 cm³?

• 500 cm³

• 1000 cm³

• 2500 cm³

• 12500 cm³

How many milliliters are there in one liter?

• 1500

• 500

• 100

• 1000

To convert kilometers to millimeters, which of the following scale factors is used?

• 100

• 1000000

• 1000

• 10000

What is the total number of millimeters in one kilometer?

• 1000000

• 100000

• 10000

• 1000