Similar Surface Area and Volume

If a spherical ball is enlarged so that its surface area in 9 times greater than its original surface area, then the original radius was multiplied by ____.

• 1
• 3
• 9
• 27

Describe the effect of the change on the area of the given figure: The height of a  triangle is multiplied by 6. 

• The area is multiplied by 6
• The area is multiplied by 3
• The area is multiplied by 36
• The area is multiplied by 60

The height of the rectangle is tripled. Describe the effect on the area.

• The area is multiplied by 6
• The area is multiplied by 3
• The area is multiplied by 36
• The area is multiplied by 60

A contractor is going to build a house. He decides to quadruple the area of the rectangular living room floor. Which change will quadruple the area of the living room floor?

• doubling the width and the length
• doubling the width only
• adding 2 feet to the width and the length
•  adding 2 feet to the width only

The areas of two circles can be expressed as the ratio of 9 to 16. What is the ratio of their radii?

• 3 to 4
• 4.5 to 8
• 18 to 32 
• 81 to 256

The radius of a cone is doubled. What will happen to the volume of the cone?

• It will double.

• It will be multiplied by 4.

• It will be multiplied by 8.

The height of a cylinder is multiplied by 4. What will happen to the volume?

• It will double.

• It will multiply by 4.

• It will multiply by 8.

The base of the figure is a...
 

• triangle.
• rectangle.

Two spheres have a similarity ratio of 1:3.  The smaller sphere has a surface area of 16 ft²_.  What is the surface area of the larger sphere.

• 48 ft²
• 144 ft²
• 432 ft²
• 32 ft²

Tags

CCSS.HSG.SRT.A.2

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
• 1/3

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2