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