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Surface Areas and Volumes of Cubes


Question Group #1
Directions and/or Common Information: Find the surface area of each cube


1. 





2. 





3. 




Question Group #2
Directions and/or Common Information: Find the volume of each cube.


1. 





2. 





Find the volume of a cube that has a surface area of 16 m2.
3. 




Question Group #3
Directions and/or Common Information: Consider the relationship between the length of the base, the surface area, and the volume of a cube before beginning these next problems.


Find the surface area and volume of the cube:
1. 





If the length of the base were to be doubled, what would the new surface area and volume be?  How did each measurement increase?
2. 





Based on the previous questions, what conclusions can be made about surface area and volume?
3. 




Question Group #4
Directions and/or Common Information: 
Use the following information for the next questions.


Find the surface area and volume for the entire group of cubes.
1. 





Now, assume that the cubes are brought together to form a larger image that looks somewhat like a part of a Rubik's Cube:
Find the surface area and the volume of the new shape.
2. 





Based on the information found in these two problems, what conclusions can you draw about surface area and volume?
3. 








C Roach

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