Similar Solids ( Make up work)

Similar Solids

Multiple Choice

These mugs are similar shapes. You could say that the pink mug is a _______ of the blue mug.

• rotation

• translation

• reflection

• dilation

Multiple Choice

Do these appear to be similar figures?

• Yes - they have the same shape

• No - they are different sizes

Multiple Choice

Similar Figures have sides that are __

• similar

• congruent

• proportional

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

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

Fill in the Blanks

What will the surface area of the smaller cone be?

Enter a number only.

Multiple Choice

If the side lengths are tripled, then which of the following statements about its surface area will be true?

• The new surface area will be 3 times larger

• The new surface area will be 9 times larger

• The new surface area will be 10 times larger

• The new surface area will be 27 times larger

Multiple Choice

If two similar rectangles have corresponding sides with a ratio of 2:3, what is the ratio of their areas?

• 4:5
• 4:9
• 2:3
• 5:9

Multiple Choice

If two similar rectangles have corresponding sides with a ratio of 2:3, what is the ratio of their areas?

• 4:5
• 4:9
• 2:3
• 5:9

Multiple Choice

What is the ratio of the surface areas from large to small. 

• 49/16
• 7/4
• 42/24
• 10/8

Multiple Choice

What is the scale factor of the side lengths of the figure on the left to the figure on the right.

• 3/1

• 3240/120

• 27/1

• 9/1

Multiple Choice

When you triple the height, the volume _____

• Stays  the same
• Doubles
• Triples
• Quadruples

Multiple Choice

When you triple the height, the volume _____

• Stays  the same
• Doubles
• Triples
• Quadruples

Multiple Choice

If all the edges of a prism are multiplied by 5, then the volume of the prism will be multiplied by ___.

• 5
• 25
• 50
• 125

Multiple Choice

Find the volume of the figure if the height is changed by a scale factor of 2.

• 672 cm³
• 336 cm³
• 36 cm³
• 412 cm³

Multiple Choice

Look at the prisms. Which statement is true about the prisms?

• The surface area of prism A is 1/5 of the surface area of prism B.
• The volume of prism B is 5 times the volume of prism A.
• The volume of prism B is 1/5 of the volume of prism A. 
• The surface area of prism A is 1/2 fo the surface area of prism B.A

Multiple Choice

If the height of the rectangular prism is multiplied by a scale factor of 4, which of the following is true?

• The volume remains the same.
• The volume is eight times as large.
• The volume is also multiplied by a scale factor of 4.
• The volume increases by 4.

Multiple Choice

The surface area of a rectangular prism is 166 square feet. A similar prism has a surface area of 1494 square feet. If the length of the smaller prism is 5 feet, what is the length of the larger prism?

• 10

• 15

• 45

• 50

Multiple Choice

The ratio of the volume of two spheres is 8:27. What is the ratio of their radii?

• 2:3

• 4:9

• 3:4

• 64:729

Multiple Choice

In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic inches. What is the ratio of their diameters?

• 4:13.5

• 2:9

• 2:3

• 4:13.5

Multiple Choice

The volume of a prism is 1000 cubic centimeters. A similar prism has a volume of 27 cubic centimeters. What is the ratio of their surface areas?

• 100:9

• 10:3

• 500:13.5

• 100:2.7

Multiple Choice

In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic inches. What is the ratio of their diameters?

• 4:13.5

• 2:9

• 2:3

• 4:13.5

Multiple Choice

The volume of a prism is 1000 cubic centimeters. A similar prism has a volume of 27 cubic centimeters. What is the ratio of their surface areas?

• 100:9

• 10:3

• 500:13.5

• 100:2.7

Multiple Choice

The volume of a prism is 1000 cubic centimeters. A similar prism has a volume of 27 cubic centimeters. What is the ratio of their surface areas?

• 100:9

• 10:3

• 500:13.5

• 100:2.7

Multiple Choice

Two similar pyramids have heights of 4 inches and 7 inches.  What is the ratio of the volume of the small pyramid to the volume of the large pyramid? 

• 4:7
• 16:49
• 64:343
• 12:21

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

What is the scale factor of the side lengths of the figure on the left to the figure on the right.

• 3/1

• 3240/120

• 27/1

• 9/1

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

• 2/3

• 64/729

• 512/19683

• 8/27