What are the dimensions if the volume is 810 cubic meters given the ratio of 2:3:5?

Question

The volume of a rectangular solid is 810 cubic meters. Find its dimensions if they are in the ratio 2:3:3?

Answer 1

2:3:5

 

2x * 3x * 5x = 810

 

30x³ = 810

 

 

divide both sides by 30:

 

x³  = 27

 

take cube root of both sides:

 

x = 3

 

so, dimensions are 2x, 3x, 5x or 6 meters, 9 meters, 15 meters