[High School - Math] Algebra II

[DarkVampiress21]

They're both pretty similar so help with either one would be fine. No idea at all how to do these.. =/

http://i2.photobucket.com/albums/y44/Vampiress_21/engineer.jpg
http://i2.photobucket.com/albums/y44/Vampiress_21/jewlerybox.jpg

[MeaCulpa]

If this is completely wrong, someone please say so.

The depth will be the smallest dimension, yes? So I would let d be the depth of the compartment. The volume should then be:

d(d+1)(d+3) = 8

If my math is right, that simplifies to d^3 + 4d^2 + 3d - 8 = 0. Notice that the left side is also equal to zero when d = 1. So you can use synthetic division with (d - 1) as the divisor.

Edit: Now that I read it again, they probably wanted the volume equation in terms of the width. The equation changes, but you use (w - 2) as a divisor, and get the same dimensions in the end.

[DarkVampiress21]

Hmm... Well, I just wrote what you said, but pretty much made stuff up on whatever I didn't understand. Thanks anyway. =)