Rectangular cuboid

The rectangular cuboid has a surface area 4131 cm2, and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.

Final Answer:

V =  16029.6 cm3

Step-by-step explanation:

a = 2 x b = 4 x c = 5 x S=4131 cm2  S = 2(ab+bc+ac) = 2(2 ⋅  4 x2 + 4 ⋅  5 x2 + 2  ⋅  5 x2) S = 2(2 ⋅  4  + 4 ⋅  5 + 2  ⋅  5) x2 S = 76 x2  x=S/76​=4131/76​≐7.3726 cm  a=2⋅ x=2⋅ 7.3726≐14.7452 cm b=4⋅ x=4⋅ 7.3726≐29.4904 cm c=5⋅ x=5⋅ 7.3726≐36.863 cm  V=a⋅ b⋅ c=14.7452⋅ 29.4904⋅ 36.863=16029.6 cm3

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

algebraarithmeticsolid geometryplanimetricsbasic operations and conceptsnumbersUnits of physical quantitiesGrade of the word problem

 
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