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

   
$\displaystyle \\ V = \frac{2}{3} \times \frac{5}{6}\times 1\frac{3}{5}= \\ \\ =\frac{2}{3} \times \frac{5}{6}\times \frac{1\times 5+3}{5}= \\ \\ =\frac{2}{3} \times \frac{5}{6}\times \frac{8}{5}= \\ \\ =\frac{2 \times 5 \times 8}{3 \times 6 \times 5} =\frac{2 \times 8}{3 \times 6 } =\frac{ 8}{3 \times 3 } =\boxed{\frac{ 8}{9 } ~\text{foot}^3}$