Question

Solve Find all of the ways that the following fixed numbers | of cubes can be arranged into rectangular prisms: 8, 9, 10, 11, and 12. For each fixed number of cubes, sketch the rectangular prisms you create, and record their dimensions, volume, and surface area. You may want to organize your information into a table Consider 1. For each fixed number of cubes, how do you know that you have found all the rectangular prisms that can be constructed? 2. Explain why the formulas SA 2LW2LH 2WH and V Lx W xH can be used to determine the surface area and volume (respectively) of a rectangular prism. 3. For each of the fixed number of cubes, compare the prism with the greatest surface area to the one with the least surface area. Make observations about the characteristics of these prisms that appear to affect their surface area. Would the observations you made continue to be true for any set of rectangular prisms that share a constant volume?

Answer 1

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