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rectangular prismUse the rectangular prism shown at right to complete parts (a) through (d) below.  Homework Help ✎

  1. Calculate the surface area of the prism. Show all of your subproblems.

    To find the surface area, find the area of each face of the prism.

    There are faces in a rectangular prism.
    Each of the three different faces shown in the image have an opposite face, so find the area of each of those faces and multiply it by .

  2. Explain why the exponent for area units is (that is, cm2).

    How many terms do you multiply together to find area?

    To find area, you multiply two dimensions.
    Just as .

  3. Calculate the volume of the prism.

    To find the volume of a rectangular prism, multiply the base, height, and width together.

    rectangular prism

  4. Explain why the exponent for volume units is a (that is, ).

    See part (b).