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10-23.

Create mat plans from the following isometric views and find the volume of each.  

  1. Stacks of cubes, with the front, right, and top sides visible, arranged as follows: To the right of a stack of 3 cubes, is a stack of 2 cubes, with another stack of 2 cubes behind, and one cube in front of, the 2 stack. To the right of the middle 2 cube stack, is 1 cube.

  1. Stacks of cubes, with the front, right, and top sides visible, arranged as follows: To the right, and in front of, a stack of 3 cubes, is a stack of 2 cubes. To the right of the right stack of 2, is 1 cube. In front of the front stack of 2, is 1 cube. To the right, of the front stack of 2, and also to the left of the right stack of 2, is 1 cube.

  1. Did you have to make any assumptions about hidden cubes when you drew the mat plans? If so, what assumptions did you make in each case and why?

    Look at the mat plan in part (a). How many cubes could there be in the upper left corner?

  1. What other view would you need to see to be sure how many cubes there are? Explain.

    Think of the views that you aren't given.

Use the eTool below to create mat plans.
Click the link to the right for full version. CCG 10-23a HW eTool.

Use the eTool below to create mat plans.
Click the link to the right for full version. CCG 10-23b HW eTool.