Question

What is the volume of the box pictured below?

A 8/9 cubic foot
B 9/10 cubic foot
C 1 1/15 cubic feet
D 1/3 cubic feet

Answer 1

`\displaystyle \\ V = (2)/(3) * (5)/(6)* 1(3)/(5)= \\ \\ =(2)/(3) * (5)/(6)* (1* 5+3)/(5)= \\ \\ =(2)/(3) * (5)/(6)* (8)/(5)= \\ \\ =(2 * 5 * 8)/(3 * 6 * 5) =(2 * 8)/(3 * 6 ) =( 8)/(3 * 3 ) =\boxed{( 8)/(9 ) ~\text{foot}^3}`