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Reil [10]
2 years ago
7

Lucy cuts 4 square with side length x in. From the corners of a 6 in by 9 in cardboard rectangle. She folds the remaining cardbo

ard to make a tray that is x in high. Write and simplify a polynomial fiction for volume V of the tray in terms of x
A and B
Mathematics
1 answer:
pantera1 [17]2 years ago
8 0

Answer:

V=4x^3-30x^2+54x

Step-by-step explanation:

From the question we are told that

Breath of cardboard h=6

Length of cardboard l=9

Let x be the height when fold

Generally the new rectangle is  mathematically given as

Breath h'=(6-2x)

Length l'=(9-2x)

Generally the Volume of tray is mathematically given as

V=L*B*H

V=(9-2x)*6-2x*x

V=x(4x^2-30x+54)

V=4x^3-30x^2+54x

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