Answer:
[tex]2\dfrac{2}{3}\ in^3[/tex]
Step-by-step explanation:
The bed has the shape of cuboid.
The volume of the cuboid is
[tex]V=\text{Length}\times \text{Width}\times \text{Height}[/tex]
In your case,
[tex]\text{Length}=3\ inches\\ \\\text{Width}=2\dfrac{2}{3}\ inches\\ \\\text{Height}=\dfrac{1}{3}\ inch,[/tex]
so the volume is
[tex]V=3\times 2\dfrac{2}{3}\times \dfrac{1}{3}\\ \\=3\times \dfrac{8}{3}\times \dfrac{1}{3}\\ \\=\dfrac{8}{3}=2\dfrac{2}{3}\ in^3[/tex]
