Question

Alena is packing a box that has a height of one inch more than the width and a length of three inches more than the width, as shown in the diagram below. Write a polynomial expression, In simplified form, that represents the volume of the box.
(I need help...)

Answer 1

Answer:

The polynomial that represent the volume of the box is $V=(x^{3}+4x^{2}+3x)\ in^{3}$

Step-by-step explanation:

we know that

The volume of the box is equal to

$V=LWH$

we have

$L=(x+3)\ in$

$W=x\ in$

$H=(x+1)\ in$

substitute in the formula

$V=(x+3)(x)(x+1)\\V=(x^{2} +3x)(x+1)\\V=x^{3}+x^{2} +3x^{2} +3x\\ V=(x^{3}+4x^{2}+3x)\ in^{3}$