Similar Area and Volume

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

Q1. What is the volume of a cube with a side length of 18 inches?

• 5184 cubic inches

• 46656 cubic inches

• 576 cubic inches

• 1728 cubic inches

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

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.

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

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

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

• 49/16

• 7/4

• 42/24

• 10/8