Geometry
posted by Susie on .
Find the missing numbers for the dimensions and measures of a rectangular prism...
Length 5 m
Width ?
Height ?
Surface Area 94 m to the second power
Volume 60 m to the third power
Please answer the one's with a ?. Thank you.

we know that
w*h*5 = 60
2*5*w + 2*5*h + 2*w*h = 94
since w = 12/h, that gives
10(12/h) + 10h + 2(12/h)(h) = 94
120 + 10h^2 + 24h = 94h
10h^2  70h + 120 = 0
h^27h+12=0
(h3)(h4) = 0
h is 3 or 4, so
w is 4 or 3
The prism is 3x4x5