Cuboid - edges

The cuboid has dimensions in ratio 4: 3: 5, the shortest edge is 12 cm long. Find:
(A) the lengths of the remaining edges,
(B) the surface of the cuboid,
(C) the volume of the cuboid

Correct result:

a =  16 cm
c =  20 cm
S =  1504 cm2
V =  3840 cm3

Solution:

b=12 k=b/3=12/3=4 a=4 k=4 4=16 cm
c=5 k=5 4=20 cm
S=2 (a b+b c+a c)=2 (16 12+12 20+16 20)=1504 cm2
V=a b c=16 12 20=3840 cm3



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