2007-04-19 23:11:20 · 5 answers · asked by Missy 1 in Science & Mathematics ➔ Mathematics
It depends on the aspect ratio of the box. A very long skinny box would have nearly zero volume; a cubic box would have the largest volume for a given surface area. A sphere would be even more efficient.
The surface of a cube is six times the area of each square side. Since the total area is 50 cm^2, each side is one-sixth of that. That means each edge is the square root of one-sixth of 50. The volume is the cube of the edge length.
V = (sqrt(50/6))^3
2007-04-19 23:16:36 · answer #1 · answered by poorcocoboiboi 6 · 0⤊ 0⤋
The area of a box is the sum of the areas of six faces, top, bottom and four sides. With the given information, no definite answer is possible. If a, b and c are the length, width and height of the box, we have the area as 2 ab + 2bc + 2ac = 50
With three variables and only 1 equation, we cannot solve for a b and c
2007-04-20 06:20:20 · answer #2 · answered by Swamy 7 · 0⤊ 0⤋
You can not calculate unless you know the shape of the box. If it is cube, then you can find.
For other shapes you should either know some dimensions or at least ratio between them.
Presently, your question is incomplete.
2007-04-20 06:42:06 · answer #3 · answered by dipakrashmi 4 · 0⤊ 0⤋
as told the question is incomplete
as the box can be a cube as well as a cuboid.
2007-04-20 06:55:08 · answer #4 · answered by Ravishankar 1 · 0⤊ 0⤋
!0cm
2007-04-20 06:18:46 · answer #5 · answered by Anonymous · 0⤊ 3⤋