Question

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 TOMORROW

I REALLY NEED HELP ASAP RIGHT NOW

I HAVE ALOT MORE HOMEWORK AFTER THIS PLEASE HELP

HELP ME

HELP ME

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P.S I GOT THE QUESTION WRONG

Answer 1

Answer:
`28\ cubes`

Explanation:

The volume of a cube can be found with this formula:

`V_((c))=s^3`

Where "s" is the lenght of any edge of the cube.

The formula for calculate the volume of a rectangular prism is:

`V_(rp)=lwh`

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

We need to find the volume of a cube box:

`V_1=s^3=((1)/(6)ft)^3=(1)/(216)ft^3`

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction:

`1(1)/(6)=((6*1)+1)/(6)=(7)/(6)`

Then the volume of the shipping box is:

`V_2=lwh\\\\V_2=((7)/(6)ft)((1)/(3)ft)((1)/(3)ft)=(7)/(54)ft^3`

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:

`((7)/(54)ft^3)/((1)/(216)ft^3)=28`