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:)

## Answer This Question

## Related Questions

- math 2 - max packs cereal boxes into a larger box the volume of each cereal box ...
- math - an open box with dimension 2 inches x 3 inches x 4 inches needs to be ...
- Algebra 1 check answers - A box has dimensions of 17 inches long, 1.3 feet wide...
- algebra - A rectangular box has Dimensions 16 inches and 22 inches and volume ...
- college algebra - a rectangular box has a volume of V(x)=x^3+13x^2+50x+56 cubic ...
- math - Juanita is packing a box that is shaped like a rectangular prism.The box ...
- math - The dimension of a rectangular metal box are 3 cm,5cm and 8cm.if the ...
- geometry - a packaging company manufactures a cardboard box with a volume of 864...
- geometry - a packaging company manufactures a cardboard box with a volume of 864...
- Calculus - An OPEN box has a square base and a volume of 108 cubic inches and ...

More Related Questions