# Similar Solids: Definition, Properties, Area & Volume

Instructions:

question 1 of 3

### A sphere has a radius of 3 inches. If a similar sphere is to be created with a volume 8 times greater, what is the radius of the new sphere?

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### 2. The surface area of a sphere is 4 square feet. A similar sphere is constructed with surface are 36 square feet. How many times larger is the new volume?

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Put your knowledge of similar solids to the test with this quiz and worksheet. Questions will ask you to apply your knowledge to a series of practice problems.

## Quiz & Worksheet Goals

In this set of questions, you'll test your understanding of:

• The relationship between radius and volume
• How the length of a cube's sides relates to its surface area
• How to use the volume of a cylinder to find its height

## Skills Practiced

This quiz and worksheet will allow students to test the following skills:

• Making connections - use understanding of the concepts of radius and volume to find the radius for related spheres
• Problem solving - use acquired knowledge to solve surface area and length-of-side practice problems
• Knowledge application - use your knowledge to answer questions about how cones with different heights but similar sizes would relate their radii