Determine the demsions of a rectangular prism the volume must be 64 centimetre cubed and the surface area is 122 centimetre squared. Find out the denmisons
2007-03-26 09:14:16 · 6 answers · asked by Anonymous in Education & Reference ➔ Homework Help
lwh=64, so l = 64/wh
2lw + 2wh + 2hw = 122, divide by 2 to get lw + wh + lh = 61
So 64w/wh + wh + 64h/wh = 61
64/h + wh + 64/w - 61=0
multiply by hw
64w + w^2h^2 + 64h - 61wh =0
Choose a number for w, plug in to get h, then plug both in to get l (there are infinitely many answers)
2007-03-26 09:32:36 · answer #1 · answered by hayharbr 7 · 1⤊ 0⤋
Rectangular prism = brick.
l * w * h = 64
2lw + 2wh + 2lh = 122
Is the base a square? Otherwise there can be many solutions = we only have two contraints, and three variables. Still have a degree of freedom.
2007-03-26 16:21:15 · answer #2 · answered by John T 6 · 0⤊ 0⤋
8*8*1
Trust me, I just finished this unit in math
2007-03-26 16:24:05 · answer #3 · answered by You Know Me... Lisa Gee 1 · 0⤊ 0⤋
l . h . w = 64
lh+hw+lw=61
we need another equation to solve it.
2007-03-26 16:52:16 · answer #4 · answered by amin_226 3 · 0⤊ 0⤋
4.8 cubic miles
2007-03-26 16:21:54 · answer #5 · answered by Michael L 1 · 0⤊ 0⤋
4x4x4? i dont know, fits right?
2007-03-26 16:22:48 · answer #6 · answered by kilbo49 2 · 0⤊ 0⤋