Question

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).

Answer 1

`(45)/(4)\ \text{inches}^3\ \text{or }11(1)/(4)\ \text{inches}^3`

Explanation:

Dimensions of prism

`1(1)/(2)=(3)/(2)\ \text{inches}`

`2(1)/(2)=(5)/(2)\ \text{inches}`

`3\ \text{inches}`

Volume is given by

`V=(3)/(2)* (5)/(2)* 3=(45)/(4)\ \text{inches}^3\\ \text{or }11(1)/(4)\ \text{inches}^3`

The volume of the rectangular prism is
`(45)/(4)\ \text{inches}^3\ \text{or }11(1)/(4)\ \text{inches}^3`.