SOLUTION: This is the question: A small box is placed inside a larger box. The dimensions of the small box are x+1 by x+2 by x-1. The dimensions of the larger box are 2x by x+4 by x+2.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: This is the question: A small box is placed inside a larger box. The dimensions of the small box are x+1 by x+2 by x-1. The dimensions of the larger box are 2x by x+4 by x+2.       Log On


   

Question 264047: This is the question:
A small box is placed inside a larger box. The dimensions of the small box are x+1 by x+2 by x-1. The dimensions of the larger box are 2x by x+4 by x+2.

a)Write an equation for the volume of the space inside the larger box but outside the smaller box.
I solved this and got x^3+10x^2+17x+2.
b)If the volume of the space inside the larger box but outside the smaller box is equal to 33x+162 cubic units, what is x?
I also solved this and got x=4.
c)What is the volume of the smaller box?
d)What is the volume of the larger box?
I need help with c) and d) please. Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
For c) and d) simply plug in x=4 into the volume expressions that you found for the large and small boxes back in part a). Let me know if you still need help with that.