Find the volume of the rectangular prism: 1\frac{1}{2}\ \textit{inches},\ 2\frac{1}{2}\textit{inches},\ \ 3\ \textit{inches}1 2 1 ​ inches, 2 2 1 ​ inches, 3 inches. Make sure your answer is in lowest terms (simplified).

Respuesta :

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].