Respuesta :
The expression represents the height of the box will be,h=(x-3).
What is volume?
The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
Given data;
l= (x + 6)
w=(x + 2).
The volume of the rectangle having length l, width w, and height h is;
V=lwh
f(x)=V= x³ + 7x² + 4x – 12
lwh=x³ + 7x² + 4x – 12
Substitute the given value;
[tex]\rm (x+5)(x-1)(h)=x^3+x^2-17x+15 \\\\ (x^2+4x-5)(h)=x^3+x^2-17x+15 \\\\\ x^2+4x-5)(h)=(x2+4x-5)(x-3) \\\\ h=(x-3)[/tex]
Hence, the expression represents the height of the box will be,h=(x-3).
To learn more about the volume, refer to https://brainly.com/question/1578538
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