SOLUTION: Problem: You wish to pack a cardboard box inside a wooden crate. In order to have room for the packing materials, you need to leave a .5-ft space around the front, back and sides

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Problem: You wish to pack a cardboard box inside a wooden crate. In order to have room for the packing materials, you need to leave a .5-ft space around the front, back and sides       Log On


   



Question 115310This question is from textbook Functions Modeling Change
: Problem: You wish to pack a cardboard box inside a wooden crate. In order to have room for the packing materials, you need to leave a .5-ft space around the front, back and sides of the box and a 1-ft space around the top and bottom of the box. If the cardboard box is x feet long, (x+2) feet wide and (x-1) feet deep, find a formula in terms of x for the amount of packing material needed.

My work:
length * width * height = area so x * (x+2) * (x-1)
I cant figure out how to enter the spaces needed into the equation.
This question is from textbook Functions Modeling Change

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
you found the volume of the box

the volume of the packing space is (x+2*.5)*(x+2+2*.5)*(x-1+2*1) ___ (x+1)*(x+3)*(x+1)

the difference in the two volumes is the formula you need