contestada

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 cardboard 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

Respuesta :

okpalawalter8

Answer:

[tex]V=4x^3-30x^2+54x[/tex]

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 [tex]h'=(6-2x)[/tex]

Length [tex]l'=(9-2x)[/tex]

Generally the Volume of tray is mathematically given as

[tex]V=L*B*H[/tex]

[tex]V=(9-2x)*6-2x*x[/tex]

[tex]V=x(4x^2-30x+54)[/tex]

[tex]V=4x^3-30x^2+54x[/tex]

Otras preguntas