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=Mathematical Reflections=

Q: Discuss the similarities and differences in the methods for finding the volume of a cylinder, a rectangular prism, and a non rectangular prism.

A: The similarities are the volume of the area of the base times the height. And the shape of the base is different so the equation will be different.

claudia = = = = =Mathematical Reflections #3=

Volume of any prism is area of the base times height.
 * 2) Describe how you can find the volume of any prism. **

tina and claudia = = = = = = =1) For a given number of cubes, what arrangment will give a rectangular prisum with the least surface area? What arrangement will give a rectangular prisum with the greatest surface area?= =The arangement that will give the least suface area is somthing most like a cube. The arrangment that will give the most surface area is, is most like a line. ​ = =<3 Claudia, Sydney and Tina = =1) Suppose you were a packaging engineer. Explain why you might want to know the total area of all the faces of a rectangular box. ​  = He might want to know the total area so he will know how to arrange things inside the box, how much room the box takes up, how to make another box, and how much the material cost.

<3 Tina and Sydney =3) Explain how you would find the number of cubes it would take to fill a rectangular box.=

Figure how many cubes long, heigh, and deep the rectangular box is and then multiply those values together. ​ (When we talked about this we said that you should put cubes in the box and count the number of cubes that fit.) = = = = = 4) What features must be the same for any flat pattern for a given box? What features might be different?= Some feature that might be the same are the total area of the box, and the total number of square units. Some features that might be different are the shape of the box, and the size of the box, which will affect the amount of square units in the box (You just said that the number of square units would NOT be the same -- which is correct?) ​.

4) **What features must be the same for any flat pattern for a given box? What** **features might be different? (Please be consistent with the text size throughout the page) **

The features of the box and a flat pattern is that might be the same as the total area of the box and total number of squre units. The differance would be the volume and primiter. (The size, and shape) (Why is this question and answer repeated?)


 * Please make sure that you type your name into the comment for page history space below. This is how Judy and I will check the work that you did!! **

Describe how you can find the surface area of a recatngular prism?
 * 1) 2 To find the surface area of your recatngular prism find the area of all the sides then add them all together.

JUSTIN AND JAMES! 1. The relationship of the number of cubes needed to fill a prism shaped box and the volume of the box is the area of the base times the height equals the volume.

If base is a triangle the area of the triangle times the height If the base is a pentagon the area of the pentagon times the height. If the base is a hexagon the area of the hexagon times the height.

James

Mathamatical Refelctions 1) (pie r2)xheight= Mathamatical reflexcttionm