The volume of the box is represented by (x^2 + 5x + 6)(x + 5). Find
the polynomial that represents the area of the bottom of a box. Please show the steps
2006-10-11 14:04:28 · 5 answers · asked by George F 1 in Science & Mathematics ➔ Mathematics
since the polynomial (x^2 + 5x + 6) can be unfoiled into (x + 3)(x + 2), it could come from the area of the base, since the area of a rectangle is bh.
2006-10-11 14:08:12 · answer #1 · answered by cardsfan 2 · 0⤊ 0⤋
V = (x^2 + 5x + 6)(x + 5) = (x + 2)(x + 3)(x + 5)
There is nothing in the statement of the problem that tells us which of the above factors represents the height of the box, or even if the factors shown actually represent the length, width and height.
Not enough information given.
2006-10-11 21:35:24 · answer #2 · answered by kindricko 7 · 0⤊ 0⤋
(x^2 + 5x + 6)(x + 5) = (x + 3)(x + 2)(x + 5)
Length = (x + 3)
Width = (x + 2)
Height = (x + 5)
A = (x + 3)(x + 2)
A = x^2 + 5x + 6
ANS : x^2 + 5x + 6
Here is what i did, since in 3D objects, the Height is usually the longest, the Length is the second longest, and the Width is the shortest.
Another way to look at this is V = bh, and A = b
whereas "b" = area of base, and "h" = height
2006-10-12 00:05:53 · answer #3 · answered by Sherman81 6 · 0⤊ 0⤋
V= Length x width x height
The length x width would be the area of the bottom.(x^2 + 5x + 6) seems to be the area of the bottom...which if you factor is (x+2)(x+3).
2006-10-11 21:08:23 · answer #4 · answered by Shaun 4 · 0⤊ 0⤋
cardsfan got the right answer with my question, good going
2006-10-11 21:21:18 · answer #5 · answered by honest abe 4 · 0⤊ 1⤋