Acrate contains cylindrical cans of soup for shipment. each crate is a cube with side lengths of 14in. each soup can is 6in tall and has a diameter of 3.5in how many soup can will fit in each crate? use 3.14 for π. explain how you got your answer.

Each cube has a side length of 14 in.
Each can of soup is 6 in tall and has a diameter of  3.5 in.

Refer to the figure shown below.

Top view:
For each side of the crate, number of cylinders that can fit in the crate is
14/3.5 = 4
Therefore 4² = 16 cylinders can be fitted in the crate (top view).

Side view:
The number of cylinders that can be stacked up in the crate is
14/6 = 2.333
Therefore only 2 rows are cylinders can be stacked up.

The total number of cylinders that will fit in a crate is 16*2 = 32.

Note:
Computing volumes for the crate and for a soup can will give wrong answers.
The volume of a soup can is V₁ = (3.14/4)*(3.5²)*6 = 57.6975 in³
The volume of a crate is V₂ = 14³ = 2744 in³
Therefore
V₂/V₁ = 47.55, that is 47  cans per crate.
The problem is that the geometry of the cans will make it impossible to fit 47 cans into the cube.

32 soup can per crate.