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koban [17]
3 years ago
6

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 int

o 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

HELP ME

P.S I GOT THE QUESTION WRONG
Mathematics
1 answer:
navik [9.2K]3 years ago
6 0

Answer: 28\ cubes

Step-by-step 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=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3

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

1\frac{1}{6}=\frac{(6*1)+1}{6}=\frac{7}{6}

Then the volume of the shipping box is:

V_2=lwh\\\\V_2=(\frac{7}{6}ft)(\frac{1}{3}ft)(\frac{1}{3}ft)=\frac{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:

\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28

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