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

Answer:

$\dfrac{45}{4}\ \text{inches}^3\ \text{or }11\dfrac{1}{4}\ \text{inches}^3$

Step-by-step explanation:

Dimensions of prism

$1\dfrac{1}{2}=\dfrac{3}{2}\ \text{inches}$

$2\dfrac{1}{2}=\dfrac{5}{2}\ \text{inches}$

$3\ \text{inches}$

Volume is given by

$V=\dfrac{3}{2}\times \dfrac{5}{2}\times 3=\dfrac{45}{4}\ \text{inches}^3\\ \text{or }11\dfrac{1}{4}\ \text{inches}^3$

The volume of the rectangular prism is $\dfrac{45}{4}\ \text{inches}^3\ \text{or }11\dfrac{1}{4}\ \text{inches}^3$.