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TELL ME SOME CUBOIDS THAT HAS THE SAME SURFACE AREA AND THE SAME VOLUME (TELL THE VALUES OF THE SIDES IN THE CUBOID)

2007-03-10 00:51:05 · 5 answers · asked by Anonymous in Science & Mathematics Mathematics

5 answers

I interpreted this differently from the others. I thought you wanted to have two cuboids with the same volume and same surface area as each other. I think the answer is that for a given volume and surface area, there is only 1 cuboid.
V=abc
A=2(ab+ac+bc)
solve for a
a=(A/2-bc)/(b+c)
plug this into expression for V
do some algebra to get
Vb+Vc=Abc/2 -b^2 c^2
you can write this in terms of a quadratic equation for c in terms of b. It will have 2 roots. But, because of the symmetry between b and c, when c=root1, b=root2 and vice versa. So, there's only 1 unique solution.

2007-03-10 01:47:00 · answer #1 · answered by sevenletters4me 6 · 2 0

Just solve x^3=6x^2 to get a cube with the a side 6 X 6 would have a surface area of 36 and volume of 36.

2007-03-10 00:57:49 · answer #2 · answered by rscanner 6 · 1 0

Let each side = X
Surface Area = 6.X ²
Volume = X ³
X³ = 6.X²
X³ - 6.X² = 0
X.(X - 6) = 0
X = 6
Each side of cuboid is 6 units long.

2007-03-10 00:58:42 · answer #3 · answered by Como 7 · 1 0

I'm not clever so that leaves me out,but I know the answer...6units.
Vol
6x6x6=210 units cubed
area
6x6 = 36 units squared x 6 (there are 6 faces) = 210 sq. units

2007-03-10 01:23:46 · answer #4 · answered by Anonymous · 0 0

I dont think I am clever.

2007-03-10 01:10:53 · answer #5 · answered by Keeper of Barad'dur 2 · 0 1

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