Cuboid and ratio

A cuboid has dimensions in a ratio of 1:2:6, and the surface area of the cuboid is 1000 dm2. Calculate the volume of the cuboid.

Correct answer:

V =  1500 dm3

Step-by-step explanation:

V=abc a:b:c=1:2:6 a=1k b= 2k c= 6k S=1000 dm2  S = 2(ab+bc+ac) S = 2(2k2+12k2+6k2) = 40 k2 k=S/40=1000/40=5 dm  a=k=5 dm b=2 k=2 5=10 dm c=6 k=6 5=30 dm V=a b c=5 10 30=1500 dm3



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