Surface Area and Volume of Similar Solids

Surface Area and Volume of Similar Solids

By Deb Scott

​The two figures are similar. What is

their scale factor.​

​The two figures are similar. What is

their scale factor?​

Multiple Choice

The two figures are similar. What is their scale factor?

• $$\frac{9}{16}$$  

• $$\frac{18}{32}$$  

• $$\frac{3}{4}$$  

• What is scale factor?

Multiple Choice

The two figures are similar. What is their scale factor?

• $$\frac{216}{343}$$  

• $$\frac{6}{7}$$

• $$\frac{3}{4}$$  

• $$\frac{5}{9}$$  

• I still do not know what scale factor is.

Multiple Choice

The volume of two similar containers are 115 m³ and 67m³. The surface area of the smaller one is 108 m². What is the surface area of the larger?

• about 155 m²

• about 137 m²

• about 183 m²

• about 140 m²

Multiple Choice

Two similar pyramids have a lateral area of 20 ft ² and 45 ft². the volume of the smaller is 8 ft³. Find the volume of the larger.

• 25 ft³

• 27 ft³

• 29 ft³

• 31 ft³

Multiple Choice

Two similar prisms have heights of 4 cm and 10 cm.

What is the ratio of the areas?

• $$\frac{4}{10}$$  

• $$\frac{2}{5}$$  

• $$\frac{8}{125}$$  

• $$\frac{4}{25}$$  

Multiple Choice

Two similar prisms have heights of 4 cm and 10 cm.

What is the ratio of their volumes?

• $$\frac{4}{10}$$  

• $$\frac{2}{5}$$  

• $$\frac{8}{125}$$  

• $$\frac{4}{25}$$  

Multiple Choice

Two similar prisms have heights of 4 cm and 10 cm.

What is the scale factor?

• $$\frac{4}{10}$$  

• $$\frac{2}{5}$$  

• $$\frac{8}{125}$$  

• $$\frac{4}{25}$$  

Multiple Choice

If the ratio of the areas of two similar figures is 64:121, what is the ratio of their volumes?

• 64:121

• 8:11

• 120:242

• 512:1331

Multiple Choice

The solids are similar. Find the Surface Area of the larger solid. Round your answer to the nearest tenth.

• 216.7 ft²

• 361.1 ft²

• 691.9 ft³

• 78 ft³

Multiple Choice

The solids are similar. Find the Volume of the larger solid. Round your answer to the nearest tenth.

• 187.5 mm

• 444.4 mm²

• 592.6 mm³

• 105.5 ft³

Multiple Choice

Two similar cones have a scale factor of 8/27. What is the ratio of their volumes?

• 2/3

• 64/729

• 512/19683

• 8/27

Multiple Choice

Two spheres have a scale factor ratio of 1:3.  The smaller sphere has a surface area of 16 ft²_.  Find the surface area of the larger sphere.

• 48 ft²

• 144 ft²

• 432 ft²

• 32 ft²

Multiple Choice

The surface area of a certain pyramid is 54 square meters. Its volume is 648 cubic meters. If a similar pyramid has a volume of 8232 cubic meters, what is its surface area?

• 686 m²

• 168 m²

• 126 m²

• 294 m²