Volume of three cuboids

Calculate the total volume of all cuboids whose edge lengths are in the ratio 1:2:3, given that one of the edges is 6 cm long.

Final Answer:

V =  1506 cm3

Step-by-step explanation:

x=6 a1=x=6 b1=2x=2 6=12 c1=3x=3 6=18 V1=a1 b1 c1=6 12 18=1296 a2=x/2=6/2=3 b2=x=6 c2=3 x/2=3 6/2=9 V2=a2 b2 c2=3 6 9=162 a3=x/3=6/3=2 b3=2 x/3=2 6/3=4 c3=x=6 V3=a3 b3 c3=2 4 6=48 V=V1+V2+V3=1296+162+48=1506 cm3



Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
Check out our ratio calculator.
Tip: Our volume units converter will help you convert volume units.

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

arithmeticsolid geometrybasic operations and conceptsUnits of physical quantitiesGrade of the word problem

Related math problems and questions: