Rectangular cuboid

The rectangular cuboid has a surface area 5447 cm2, and its dimensions are in the ratio 2:4:1. Find the volume of this rectangular cuboid.

Correct answer:

V =  21706.46 cm3

Step-by-step explanation:

a = 2 x b = 4 x c = 1 x S=5447 cm2  S = 2(ab+bc+ac) = 2(2   4 x2 + 4   1 x2 + 2    1 x2) S = 28 x2  x=S/28=5447/2813.9476 cm  a=2 x=2 13.947627.8952 cm b=4 x=4 13.947655.7904 cm c=1 x=1 13.947613.9476 cm  V=a b c=27.8952 55.7904 13.9476=21706.46 cm3



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Showing 2 comments:
Amy
Not very useful plz give worked example with steps

6 years ago  3 Likes
Dr Math
Example is complete with solution  step-by-step





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