Find the dimensions of a rectangular prism with a volume of 162 cubic m if the width is one-half the length and the weight is three times the width.
2006-06-18 08:06:39 · 6 answers · asked by jrrkidd 1 in Education & Reference ➔ Homework Help
Well, you know a rec prism has volume = l x w x h
162 = l x w x h
162 = l x (1/2 l) x (3 x 1/2 l)
162 = 3/4 l^3
216 = l^3
6 = l
Therefore, length = 6, width = 3, height = 9
2006-06-18 08:12:36 · answer #1 · answered by Ian M 5 · 0⤊ 0⤋
I assume you mean height, not weight.
Volume = length x width x height, length is 2 x width, and height is 3 x width, so
volume= (2 x width) x width x (3 x width) so
162 cubic meters = 6 x width cubed
162/6 = 27 cubic meters = width cubed
3 meters = width
length = 2 x width or 6 meters
height = 3 x width or 9 meters
To check your answer, see if those numbers multiply right:
volume = length x width x height
does 162 cubic meters = 3 meters x 6 meters x 9 meters?
yes it does, so answer is correct.
2006-06-18 15:30:23 · answer #2 · answered by Judy 7 · 0⤊ 0⤋
ok firstyou get the formula for a rectangular prism, should be in the front of the book... then you plug in all your info, and solve for the prisims. you should use the formula for volume becuase they alredy give you volume. weight... this is hard
2006-06-18 15:10:37 · answer #3 · answered by this old loser 3 · 0⤊ 0⤋
ok...so :
w=L/2 AND H=3w ----> H=3(L/2)=3L/2
since volume= Lx w x h-----> 162= (3L/2) x (L/2) x L....
now solve for L and replace the answer to find H and W...problem solved
2006-06-18 15:12:29 · answer #4 · answered by sphinx 4 · 0⤊ 0⤋
Just quit school. I did and now look!!!!
2006-06-18 15:10:30 · answer #5 · answered by Sweet Polly Purebred 3 · 0⤊ 0⤋
5m
2006-06-18 15:10:10 · answer #6 · answered by Anonymous · 0⤊ 0⤋