Area and Volume Ratios

Front

What is the ratio of areas if the linear scale factor is 5:6?

Back

25:36

Front

What do you do to the ratio of volumes to find the ratio of perimeters?

Back

Cube root it.

Front

What do you do to the ratio of surface areas to find the ratio of sides?

Back

Square root it.

Front

What do you do to the linear scale factor to find the ratio of volumes?

Back

Cube it.

Front

If the ratio of sides is 4:7, what is the ratio of perimeters?

Back

4:7

Front

Define linear scale factor.

Back

The ratio of corresponding lengths in two similar geometric figures.

Front

How do you find the ratio of areas from the linear scale factor?

Back

Square the linear scale factor.

Front

How do you find the ratio of volumes from the linear scale factor?

Back

Cube the linear scale factor.

Front

What is the relationship between the ratio of surface areas and the ratio of linear dimensions?

Back

The ratio of surface areas is the square of the ratio of linear dimensions.

Front

What is the relationship between the ratio of volumes and the ratio of linear dimensions?

Back

The ratio of volumes is the cube of the ratio of linear dimensions.