In order to make a box, James cut out four small 2 by 2 squares from each corner of a square piece of cardboard. If the volume of the box he made is 50 inches cubed, what is the length of a side of the original square?

Please help, thanks.

9 inches.

Step-by-step explanation:

Let the length of the square cardboard =x inches

If James cut out four small 2 by 2 squares from each corner of a square piece of cardboard.

In the attached diagram, the box is folded along the green dotted line.

Therefore:

Volume of a rectangular prism=LWH

Volume =50 inches cubed

Therefore:

2(x-4)(x-4)=50

Divide both sides by 2

Therefore, the length of the original square is 9 inches.

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.

secant-secant formula:

(whole secant) x (external part) =           (whole secant) x (external part)

(8+y-2) *8=                                           (y+4+6) *6

(y+6)*8 = (y+10) *6

distribute

8y+48 = 6y +60

subtract 6y from each side

2y +48 = 60

subtract 48 from each side

2y = 12

divide by 2

y = 6

sv =     (y+4+6)

sv   = 6+4+6

sv = 16