Posted by **acshikari** on Friday, July 29, 2011 at 9:38pm.

The volume of the box is 900 cubic inches. Find the dimension with a ratio of 1:3:5.

- solid mensuration -
**Damon**, Friday, July 29, 2011 at 9:44pm
1x * 3x * 5x = 900

15 x^3 = 900

x^3 = 60

x = 3.915

3x = 11.745

5x = 19.574

- solid mensuration -
**Reiny**, Friday, July 29, 2011 at 9:45pm
let the dimensions be x , 3x, and 5x

x(3x)(5x) = 900

15x^3 = 900

x^3 = 60

x = ∛60

dimensions are ∛60 , 3∛60, and 5∛60

or appr. 3.91 , 11.74, and 19.57

check: 3.91*11.74*19.57 = 898.33 close for the approximation I used

however, ∛60*3∛60*5∛60 = exactly 900

- solid mensuration -
**acshikari**, Friday, July 29, 2011 at 10:03pm
wow!!!

thnk you so much damon and reiny for helping

now i knw how to use ratios. tnx a lot:)

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