Respuesta :

9514 1404 393

Answer:

  D B E C A

Step-by-step explanation:

The volume of a rectangular prism (cuboid) can be figured from its dimensions, or from the base area and height:

  V = LWH . . . . . volume is the product of length, width, height

  V = Bh . . . . . . . volume is the product of base area and height

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Hopefully, you recognize that these are basically the same formula, since the base area is the product of length and width.

For the given figures, the volumes are ...

  A = (1/2 m)(1/4 m)(1/4 m) = 1/32m³

  B = (32 m²)(7.25 m) = 232 m³

  C = (1/2 m)(1/2 m)(1/4 m) = 1/16 m³

  D = (3 1/2 m)(8 1/2 m)(9 3/4 m) = 290 1/16 m³

  E = (26 1/3 m²)(5 m) = 131 2/3 m³

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The volumes from greatest to least are ...

  D B E C A