Kenard takes a square piece of cardboard and cuts 4 in. by 4 in. squares out of each corner. He folds the sides up to make a box
without a top. What equation can Kenard use to determine the volume of the box, where x is the side length of the original piece of cardboard
2 answers:
4x² - 64x + 256
I hope this helps. (:
Answer:
Step-by-step explanation:
Since original square has sides x,
when we cut 4 units from all the 4 sides the box will have height of 4 units.
Length of the box = side of square - 2 times square side cut
= x-2(4) = x-8
Similarly width of the box also would be
x-8
Hence volume of the box = lwh
= length x widthx height
Now substitute for each in terms of x
Volume =
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A of rect: L*W= 5x3= 15
A of sq= s^2= 3^2=9
He is incorrect because 15 is not double of 9, if the area of the rect is really double the area of the square then its area should be 18 not 15.