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 result:

V =  23519.0145 cm3

Solution:

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=2.352104 cm3



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

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

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