Answer:
The volume of the box is [tex]V=(4x^3+16x^2+15x)\ in^3[/tex]
Step-by-step explanation:
we know that
The volume of the box is equal to
[tex]V=LWH[/tex]
where
L is the length of the box in inches
W is the width of the box in inches
H is the height of the box in inches
we have
[tex]L=(2x+5)\ in\\W=(2x+3)\ in\\H=x\ in[/tex]
substitute in the formula
[tex]V=(2x+5)(2x+3)x[/tex]
[tex]V=(4x^2+6x+10x+15)(x)[/tex]
[tex]V=(4x^2+16x+15)(x)[/tex]
[tex]V=(4x^3+16x^2+15x)\ in^3[/tex]
