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#### karush

##### Well-known member

- Jan 31, 2012

- 2,929

find the dimensions of the largest rectangular box with a square base and no top that can be made from out of $1225 in^2$ of material. |

well, this might be over simplified but since the volume is max of cube to the a surface area I thot making a cube out of the material would be max volume assuming that is what they mean by largest rectangular box.

since the $\displaystyle\sqrt{1225} = 35$ then $\frac{35}{3}$ would be the length of the side of the cube and to cut the material accordingly. $x$ being the side.

View attachment 525

I thot to that usually one can get a max value with a parabola but the vertex of $9x^2$ is $0$ there is no book answer for this...mostly making sure I understand the question correctly..... thx ahead...