Answer :

Step-by-step explanation:

[tex]volume \: of \: bed \\ \\ = 3 \times 2 \frac{2}{3} \times \frac{1}{3} \\ \\ = 3 \times \frac{8}{3} \times \frac{1}{3} \\ \\ = \frac{8}{3} \\ \\ = 2 \frac{2}{3} \: {inch}^{3} [/tex]

2 2/3 is the volume of your bed
I believe this is the answer