Scale Factor And The Relationship To Area And Volume

Scale Factor And The Relationship To Area And Volume - Transcript

GLE 0706 2 3 0706 4 3 SPI 0706 2 7 0706 4 3

Scale Factor and the relationship to area and volume PRE TEST

Let s review what we know about similar shapes

1 75 cm 2 8 cm

x 5 6 cm

Solve for x What is the scale factor

Try again 8m 6m x 1 5 m

Solve for x What is the scale factor

3 5 cm 5 6 cm

The second quadrilateral is half as tall and half as wide This means the scale factor is

1 75 cm 2 8 cm

If the next shape triples in size what is the area of the larger shape
4 5 6

2m 6m 18m

Using the formula for scale factor what is the area of the red rectangle

10 cm

If the scale factor is what would be the area of the smaller

5 cm 10 cm
3 cm

30 cm The scale factor is 3 because the size has tripled What is the volume of the larger prism

5m 10 m

30 m

5m

What is the scale factor

What is the volume of the small

Now Check yourself
length width Scale factor

Answers

3 20

5 40

3

Now Check yourself
length width height Scale factor

Answers

3 30

6 60

2 20

2 1 5

Assume all the shapes are cubes