Question

A box is x to inches high,(2x+3)inches wide, and (2x+5) of inches long. In terms of x, what is the volume (v) of the box?

Answer 1

The volume of the box is
`V=(4x^3+16x^2+15x)\ in^3`

Explanation:

we know that

The volume of the box is equal to

`V=LWH`

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

`L=(2x+5)\ in\\W=(2x+3)\ in\\H=x\ in`

substitute in the formula

`V=(2x+5)(2x+3)x`

`V=(4x^2+6x+10x+15)(x)`

`V=(4x^2+16x+15)(x)`

`V=(4x^3+16x^2+15x)\ in^3`