Originally Posted by

**orangepower** The dimensions of a gift box are consecutive positive integers such that the height is the least integer and the length is the greatest integer.

**Therefore w = h+1 and l = h+2**

If the height is increased by 1cm, the width is increased by 2cm, and the length is increased by 3cm, then a larger box is constructed such that the volume is increased by 456cm3. determine the dimensions of each box.

and so far I got to

LWH= **h(h+1)(h+2) = h^3+3h^2+2h** = V

**((h+2)+3)((h+1)+2)(H+1)**= V+456

.___. then I got stuck >< I don't even know if I'm on the right track.

According to the answers in the back, the dimensions of the first box are

**9cm by 8cm by 7cm**

the second box would be

**12cm by 10cm by 8cm**

Thank you in advance for your help ^^