Rectangular cuboid

The rectangular cuboid has a surface area 5334 cm2, and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.

Correct answer:

V =  23519.0145 cm3

Step-by-step explanation:

a = 2 x b = 4 x c = 5 x S=5334 cm2  S = 2(ab+bc+ac) = 2(2   4 x2 + 4   5 x2 + 2    5 x2) S = 76 x2  x=S/76=5334/768.3776 cm  a=2 x=2 8.377616.7552 cm b=4 x=4 8.377633.5104 cm c=5 x=5 8.377641.888 cm  V=a b c=16.7552 33.5104 41.888=23519.0145 cm3



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

5 years ago  2 Likes
Dr Math
Example is complete with solution  step-by-step





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