Cuboid - ratio

Find the volume of a block whose dimensions are in the ratio 2: 3: 4 and the surface is 117 dm2.

Correct result:

V =  81 dm2

Solution:

a:b:c=2:3:4=2x:3x:4x S=117 dm2 S=2(ab+bc+ca)=2(2x 3x+3x 4x+4x 2x)  x=S/2/(2 3+3 4+4 2)=117/2/(2 3+3 4+4 2)=32=1.5 dm  a=2 x=2 1.5=3 dm b=3 x=3 1.5=92=4.5 dm c=4 x=4 1.5=6 dm  V=a b c=3 4.5 6=81 dm2



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