Find the volume of the larger shape
Surface Area= 18 inches squared
Surface Area = 98 inches squared
Volume = 353 inches cubed
Volume = x
2007-12-17 14:52:16 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Areas are proportional to the square of linear dimensions.
Volumes are proportional to the cube of linear dimensions.
Area (1) / Area (2) = 18/98
Linear dimension (1) / Linear dimension (2) = Sqrt ( 18/98)
Volume (1) / Volume (2) = { Linear dim (1) / linear dim (2)}^3
353/x = {Sqrt(18/98)}^3 or x = 353/(0.1010)^3 = 353/0,00103 = 344828 or, to three decimal places, 345000
2007-12-17 15:09:19 · answer #1 · answered by LucaPacioli1492 7 · 0⤊ 0⤋
Set up a proportion and cross-multiply
18/353=98/x
18x=98*353
x=(98*353)/18
2007-12-17 22:55:31 · answer #2 · answered by Bushman 2 · 0⤊ 1⤋
Hi. I assume that the shapes are similar, otherwise there is no solution. If they are, take the ratio of the surface areas; in this case, 18/98, which reduces to 9/49. Find the square root of that to find the ratio of corresponding edges. Cube that to find the ratio of the volumes. Set that equal to 353/x and solve! Good luck!
2007-12-17 22:58:09 · answer #3 · answered by not sixty yet 2 · 0⤊ 1⤋
18/98=353/x then cross multiply and solve 18x=(98*353) then divide and solve
2007-12-17 22:57:44 · answer #4 · answered by swimmer12_9 2 · 0⤊ 1⤋
v(big)/v(small)=[area(big)/area(small)]^3/2
x/353=)98/18)^3/2
x=4484.4inches cube
2007-12-17 22:58:16 · answer #5 · answered by someone else 7 · 0⤊ 0⤋
see we know that surface area multiplied by length is equal 2 volume...so if area is A n volume is V then we can write...
A1/A2=V1/V2
we know A1,A2,V1 so u can find the V2...got it?
2007-12-17 22:56:36 · answer #6 · answered by ishita 1 · 0⤊ 1⤋
I got about 1921.9 or 1921.8
2007-12-17 22:55:45 · answer #7 · answered by Anonymous · 0⤊ 1⤋