Similar Shapes: Quiz 5 – Answers

**Part 1**

1) Area SF = 4

Volume SF = 8

2) Length SF = 3

Volume SF = 27

3) Length SF = 5

Area SF = 25

**Part 2**

1)

a) 20 cm^{2}

b) 3

c) 9

d) 180 cm^{2}

2) 3 cm

3) 20 cm

4) 5 cm

5) 18 cm^{2}

**Working**

**Questions**

Part 1

Part 1

1) The length scale factor for two shapes is 2. What are the area and volume scale factors?

2) The area scale factor for two shapes is 9. What are the length and volume scale factors?

3) The volume scale factor for two shapes is 125. What are the length and area scale factors?

**Part 2**

1) The two rectangles below are mathematically similar.

a) What is the area of the smaller shape?

b) What is the length scale factor?

c) What is the area scale factor?

d) What is the area of the larger shape?

2) The two triangles below are mathematically similar. The area of the smaller triangle is 6 cm^{2} and the area of the larger triangle is 150 cm^{2}. The length of the base of the larger triangle is 15 cm. What is the length of the base in the smaller triangle?

3) We have two shapes that are mathematically similar. The area of the smaller shape is 6 cm^{2} and the area of the larger shape is 96 cm^{2}. One of the sides on the smaller shape has a length of 5 cm. What is the length of the same side on the larger shape?

4) The two cylinders below are mathematically similar. The smaller cylinder has a volume of 16 cm^{3} and the larger cylinder has a volume of 128 cm^{3}. The radius of the smaller shape is 2.5 cm. What is the radius of the larger shape?

5) We have two shapes that are mathematically similar. The volume of the smaller shape is 6 cm^{3} and the volume of the larger shape is 750 cm^{3}. The larger shape has a surface area of 450 cm^{2}. What is the surface area of the smaller shape?