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Which set of dimensions belongs to a right rectangular prism with a volume of 440cm^3?

a) Length = 10 cm, Width = 11 cm, Height = 4 cm
b) Length = 5 cm, Width = 8 cm, Height = 11 cm
c) Length = 8 cm, Width = 10 cm, Height = 5.5 cm
d) Length = 7 cm, Width = 8 cm, Height = 10 cm

1 Answer

1 vote

Final answer:

Calculating the volumes using the formula Volume = Length × Width × Height, we find that options (a), (b), and (c) all lead to a volume of 440 cm3, while option (d) does not. Therefore, unless the question is mistakenly not multiple choice, (a), (b), and (c) are correct.

Step-by-step explanation:

The question asks which set of dimensions of a right rectangular prism results in a volume of 440 cm3. To find the correct set, we'll calculate the volume for each set of given dimensions by using the formula for the volume of a rectangular prism, which is Volume = Length × Width × Height.

  1. For option (a) 10 cm × 11 cm × 4 cm = 440 cm3, so this set of dimensions gives the correct volume.
  2. For option (b) 5 cm × 8 cm × 11 cm = 440 cm3, which is also correct. However, we're looking for only one correct set.
  3. For option (c) 8 cm × 10 cm × 5.5 cm = 440 cm3, this one is correct as well.
  4. For option (d) 7 cm × 8 cm × 10 cm = 560 cm3, so this set of dimensions does not give the correct volume.

All the options apart from (d) result in the correct volume of 440 cm3. It's unusual, but the question might contain an error, or more than one option could be correct if it's not multiple choice. Hence, upon review, options (a), (b), and (c) are all viable answers for the dimensions of a right rectangular prism with a volume of 440 cm3.

User Kapil Thakkar
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