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Ответ:

memester74

12.01.2023

Mathematics

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

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

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