Question

I REALLY NEED HELP!!Determine how many actual fish food boxes fit in the shipping box. Show your work.

Answer 1

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:

$3\frac{3}{4}\ ft=(3+0.75)\ ft=3.75\ ft\\\\3+\frac{1}{4}\ ft=(3+0.25)\ ft=3.25\ ft\\\\\frac{1}{ 4}\ ft=0.25\ ft$

The fish food boxes are cubes.

Find the volume of a fish food box with this formula:

$V_f=s^3$

Where "s" is the length of any edge.

This is:

$V_f=(0.25\ ft)^3\\\\V_f=0.015625\ ft^3$

The Shipping box is a rectangular prism. Find its volume with this formula:

$V_s=lwh$

Where "l" is the length, "w" is the width and "h" is the height.

Then, this is:

$V_s=(3.75\ ft)(3\ ft)(3.25\ ft)\\\\V_s=36.5625\ ft^3$

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:

$\frac{36.5625\ ft^3}{0.015625\ ft^3}=2,340$ $fish\ food\ boxes$