The Great Tennis Ball Container Debate!!

Help us determine the best container in which to store 3 tennis balls.
Just answer each question below. Show your formulas and work.

Name:

Container no. 1
Three tennis balls are in a can, lightly touching the sides, top and bottom of the can.
Container no. 2
Three tennis balls are in a square prism box, lightly touching the sides, top and bottom of the box.

1.) Find the EXACT volume of the can.

 

 

 

6.) Find the EXACT volume of the box.

2.) Find the EXACT volume of the 3 balls together.

 

 

 

7.) Write the EXACT volume of the 3 balls from problem number two.

3.) Find the EXACT volume of the wasted space inside of the can.

 

8.) Find the EXACT volume of the wasted space inside of the box.

4.) What EXACT % of the can's volume is wasted space?

 

9.) What % of the box's volume is wasted space? (round your answer to the nearest tenth of a %)

5.) Find the EXACT surface area of the can.

 

 

10.) Find the EXACT surface area of the box.

Circle the answers on this chart as you find them. When all ten problems are finished correctly, the vertical, 10-letter, word that is formed will be the password to a treasure room. Click on "TreasureFinder" below and claim your prize!

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