Score: 0 of 1 pt of806 complete) 3.4.21 A pvece of cardboard is 22 tmes as long

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Score: 0 of 1 pt of806 complete) 3.4.21 A pvece of cardboard is 22 tmes as long as s wide from each corner and folding upo the sides L Answer the toloing questions is to be made ro a bos wh an open top by cuting 3Hnch square Represent te length ofthe origna tier oe ar board soms of Length-22x in (Usa Integers or dacima tor any numbers n the expression) b) Grve the restnictions on x What wi be tre dimansions of the soom rectanguter base of the bax? The length wil te(22.-6) nand!he with it, ee(K6n (Type expressions using x as the vensbie use ielegers deams tor afy namoers in the espressors ) c) Delermne a uncion V that represenes tha volume of the box in berms of x Simpity your ensver Lse nisgers or decimals for any numbers in he eopreisionj Enter your answer in the ansver box and then cick Check Anawas

Explanation / Answer

Let the width of the original piece of cardboard be x inches.

(a).Then the length of the original piece of cardboard is 2.2 x inches.

(b). After 3 inches x 3inches square corners are cut off from the original piece of cardboard, its width and length will change to x -2*3 = x -6 inches and 2.2 x -2*3 = 2.2x -6 inches respectively.

( c ). The volume (V)of the box constructed from the piece of cardboard, after cutting off the corners, will be length*width*height so that V = (2.2x-6)(x-6)x =x(2.2x2 -19.2x+36) = 2.2x3 -19.2x2+36x

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