The volume of a large crate is 84 yd3. It's 2 2/3 yd wide & 4 2/3 yd high. What is the length of the crate?

Question

Length when volume, width and height are given.

Answer 1

Volume = length x width x height

 

 

84 = length x (2 and 2/3)  x (4 and 2/3)

 

    = length x ( 8/3) (14/3)

 

 

84 = length x  (112/9)

 

length = 84 * 9/ 112

 

          = 42 * 9 / 56

 

          = 21 * 9 / 28

 

          = 3 * 9 / 4

 

          = 27/4

 

          = 6 and 3/4

 

         = 6.75