Answer: 2,340 fish food boxes
Step-by-step explanation:
The missing figure is attached.
Convert all the Mixed numbers and the fraction to Decimal numbers:
[tex]3\frac{3}{4}\ ft=(3+0.75)\ ft=3.75\ ft\\\\3+\frac{1}{4}\ ft=(3+0.25)\ ft=3.25\ ft\\\\\frac{1}{ 4}\ ft=0.25\ ft[/tex]
The fish food boxes are cubes.
Find the volume of a fish food box with this formula:
[tex]V_f=s^3[/tex]
Where "s" is the length of any edge.
This is:
[tex]V_f=(0.25\ ft)^3\\\\V_f=0.015625\ ft^3[/tex]
The Shipping box is a rectangular prism. Find its volume with this formula:
[tex]V_s=lwh[/tex]
Where "l" is the length, "w" is the width and "h" is the height.
Then, this is:
[tex]V_s=(3.75\ ft)(3\ ft)(3.25\ ft)\\\\V_s=36.5625\ ft^3[/tex]
FInally, you must divide the volumes in order to calculate the number of fish food boxes that fit in the shipping box. You get this result:
[tex]\frac{36.5625\ ft^3}{0.015625\ ft^3}=2,340[/tex] [tex]fish\ food\ boxes[/tex]
