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attashe74 [19]
3 years ago
5

If you fill a 4.92 cm prism with cubes who’s sides lengths are less than 1 cm what size would be the best

Mathematics
1 answer:
Marrrta [24]3 years ago
8 0

Answer:

  • <u><em>See explanation below: either 0.984 cm or 0.85 cm depending on the complete question.</em></u>

Explanation:

The question is incomplete and, thus, ambiguos.

There are two plausible interpretations: either each side of the prism has a leght of 4.92 cm, or the the units of the given measured is not cm but cm³ and 4.92 is the volume of the prism.

<u>Considering the first option:</u>

The best side length is the first decimal number that divides exactly 4.92cm

  • That is 4.92/5 = 0.984 cm

<u>Considering the second option</u>

<u>T</u>he correct question would be "<em>If you fill a 4.92 cm³ prism with cubes who’s sides lengths are less than 1 cm what size would be the best"</em>

<em />

The best size of the sides lentgths is one that occupies the greatest part of each length.

Assume the prism is a cube. Then, the legth of each side is:

      \sqrt[3]{4.92}=1.70

The greatest decimal number that divides 1.70 exactly is:

  • 1.70cm/2 = 0.85cm
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