# solid mensuration

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

• solid mensuration -

1x * 3x * 5x = 900
15 x^3 = 900
x^3 = 60

x = 3.915
3x = 11.745
5x = 19.574

• solid mensuration -

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 -

wow!!!
thnk you so much damon and reiny for helping

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

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