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11-36.

Determine which nets below will form a prism. If a net will not form a prism, explain why not.

  1. net

     net

    net

    net

    net

    net

    For all of the parts in this problem, consider drawing the nets on paper and cutting them out. It takes a lot of practice with actually folding these nets before most students can visualize, in their minds, the folded nets.

    If the two adjacent faces folded upwards the rest of the faces would have to wrap around the figure.

    At least one face will overlap another, and there will be one missing face to complete the figure.

  1. net

    net

    net

    net

    net

    net

    Visualize this net folding. Sketching this net onto a piece of paper and cutting it out may prove to be helpful in solving this problem.

    You should be able to conclude that this net, in fact, does form a prism.

  1. net

    net

     net

    net

    net

    net

    net

    At first glance this net may seem to form a prism, but count how many faces there would be.

    This net will not form a prism because there are , instead of , faces. This means that two faces will overlap.

  1. net

    net

    net

    net

    net

    net

    Try and visualize this net folding. Are there any tools that can help you solve this?