Posted by **Susie** on Monday, December 9, 2013 at 1:16pm.

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.

- Geometry -
**Steve**, Monday, December 9, 2013 at 2:41pm
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^2-7h+12=0

(h-3)(h-4) = 0

h is 3 or 4, so

w is 4 or 3

The prism is 3x4x5

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