Answer:
[tex]\dfrac{45}{4}\ \text{inches}^3\ \text{or }11\dfrac{1}{4}\ \text{inches}^3[/tex]
Step-by-step explanation:
Dimensions of prism
[tex]1\dfrac{1}{2}=\dfrac{3}{2}\ \text{inches}[/tex]
[tex]2\dfrac{1}{2}=\dfrac{5}{2}\ \text{inches}[/tex]
[tex]3\ \text{inches}[/tex]
Volume is given by
[tex]V=\dfrac{3}{2}\times \dfrac{5}{2}\times 3=\dfrac{45}{4}\ \text{inches}^3\\ \text{or }11\dfrac{1}{4}\ \text{inches}^3[/tex]
The volume of the rectangular prism is [tex]\dfrac{45}{4}\ \text{inches}^3\ \text{or }11\dfrac{1}{4}\ \text{inches}^3[/tex].