Rectangular cuboid

The rectangular cuboid has a surface area 2080 cm2, and its dimensions are in the ratio 4:1:5. Find the volume of this rectangular cuboid.

Correct answer:

V =  4295.2 cm3

Step-by-step explanation:

a = 4 x b = 1 x c = 5 x S=2080 cm2  S = 2(ab+bc+ac) = 2(4 ⋅  1 x2 + 1 ⋅  5 x2 + 4  ⋅  5 x2) S = 58 x2  x=S/58​=2080/58​≐5.9885 cm  a=4⋅ x=4⋅ 5.9885≐23.954 cm b=1⋅ x=1⋅ 5.9885≐5.9885 cm c=5⋅ x=5⋅ 5.9885≐29.9425 cm  V=a⋅ b⋅ c=23.954⋅ 5.9885⋅ 29.9425=4295.2 cm3

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Check out our ratio calculator.
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Tip: Our volume units converter will help you convert volume units.

You need to know the following knowledge to solve this word math problem:

Units of physical quantities:

Grade of the word problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: