Solids A and B are similar. The height of solid A is 6 meters and the height of solid B is 15 meters. If the volume of solid B is 250 cubic meters, what is the volume of solid A?
2007-05-28 17:39:59 · 6 answers · asked by Case 1 in Science & Mathematics ➔ Mathematics
this is a proportion problem
A:B
6 is to 15 as A is to 250
15 is 2.5 times bigger than 6 because 6 times 2.5 is 15.
So divided 250 by 2.5 and you get the volume of A.
2007-05-28 17:43:57 · answer #1 · answered by David 4 · 0⤊ 1⤋
For every meter of height, solid B is 16.66666 cubic meters.
250/15=16.66666
Being that solid A and solid B are similar, 1.6666X6=99.9999
Vol of solid A = 99.99999
2007-05-29 00:48:59 · answer #2 · answered by Anonymous · 0⤊ 0⤋
You will need to set up the proportional relationship between the two.
A height/B height = 6/15 or 2/5 (if you reduce by 3)
A Volume/B Volume = x/250
You may now set up your equation:
2/5 = x/250
If you cross-multiply, solving for x (A Volume) will be reduced to a basic algebra problem.
2007-05-29 00:46:59 · answer #3 · answered by LittleEcon 2 · 0⤊ 0⤋
every dimension in a is 2/5ths of that in b. thus the volume is (2/5)^3 of b. 250*.4*.4*.4 = 16
2007-05-29 00:45:08 · answer #4 · answered by Bradley B 2 · 0⤊ 0⤋
It would be (6/15)*250
2007-05-29 00:44:04 · answer #5 · answered by Mark S, JPAA 7 · 0⤊ 1⤋
6/15 = x/250
same ratio as height
best of luck
2007-05-29 00:43:58 · answer #6 · answered by tom4bucs 7 · 0⤊ 1⤋