Question

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

Answer 1

Answer:

• See explanation below: either 0.984 cm or 0.85 cm depending on the complete question.

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.

Considering the first option:

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

• That is 4.92/5 = 0.984 cm

Considering the second option

The correct question would be "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"

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