Geometry

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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

• Geometry -

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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