Q:

haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. how many 1/6 foot cubic boxes can she fit into a shipping box that is 1 1/6 feet by 1/3 foot by 1/3 foot?​HELP I NEED THIS FOR TOMORROWI REALLY NEED HELP ASAP RIGHT NOW I HAVE ALOT MORE HOMEWORK AFTER THIS PLEASE HELPHELP ME HELP ME HELP MEP.S I GOT THE QUESTION WRONG

Accepted Solution

A:
Answer: [tex]28\ cubes[/tex]Step-by-step explanation: The volume of a cube can be found with this formula: [tex]V_{(c)}=s^3[/tex] Where "s" is the lenght of any edge of the cube. The formula for calculate the volume of a rectangular prism is: [tex]V_{rp}=lwh[/tex] Where "l" is the lenght, "w" is the width and "h" is the height. We need to find the volume of a cube box: [tex]V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3[/tex] To find the volume of the shipping box, first we must convert the mixed number to  an improper fraction: [tex]1\frac{1}{6}=\frac{(6*1)+1}{6}=\frac{7}{6}[/tex] Then the volume of the shipping box is: [tex]V_2=lwh\\\\V_2=(\frac{7}{6}ft)(\frac{1}{3}ft)(\frac{1}{3}ft)=\frac{7}{54}ft^3[/tex] Now, in order to find the  number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is: [tex]\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28[/tex]