6a. suppose you need to find a box that you can fit your cube-shaped gift into. you know that you will need to find a box that is 4 inches longer than the cube’s length, 3 inches wider than the cube’s width, and 7 inches taller than the cube’s height. create a polynomial that represents the gift box’s volume in terms of the cube’s length/width/height, in factored and standard form

V = (x+ 4)(x + 3)(x + 7); V = x³ + 14x² + 61x + 84

Step-by-step explanation:

Let x = the side of the cube

Then the dimensions of the gift box are

l   = x + 4

w = x + 3

h = x+ 7

V = lwh

V = (x+ 4)(x + 3)(x + 7)     Multiply the first two terms

V = (x² + 7x + 12)(x+ 7)     Remove parentheses

V = x³ + 14x² + 61x + 84

2 5/8 is the final answer! : )

why can't you?

step-by-step explanation: