Posted by **Blake** on Wednesday, March 30, 2011 at 9:31pm.

Raymond has exactly 360 square inches of cardboard to make a box. He wants two of the dimensions to be 6 inches and the other one to be a whole number of inches. How many different size boxes can he make?

- math -
**Henry**, Friday, April 1, 2011 at 5:59pm
Width = 6 in.

Height = 6 in.

Length = L in.

As=2(W*h) + 2(L*h) + (2W*L) = 360in^2. = max. surface area.

2(6*6) + 2(L*6) + 2(6*L) = 360,

72 + 12L + 12L = 360,

24L = 360 - 72 = 288,

L = 12 in. = max length.

Lmin 1 in. = min whole number.

He can make 12 different sizes(L = 1 to

12in).

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