Answer:
[tex]7\frac{7}{9}in^{3}[/tex]
Step-by-step explanation:
Volume of a prism can be found using the general formula:
V = l x w x h, where l = length, w = width and h = height
Given the dimensions of l = [tex]2\frac{1}{3}in[/tex]; w = [tex]2in[/tex] and h = [tex]1\frac{2}{3}in[/tex], you can first convert your mixed numbers to improper fractions and then multiply.
[tex]2\frac{1}{3}in[/tex]=[tex]\frac{5}{3}[/tex]
[tex]1\frac{2}{3}in[/tex]=[tex]\frac{7}{3}[/tex]
V = [tex]\frac{5}{3}*\frac{7}{3}*\frac{2}{1}=\frac{70}{9}=7\frac{7}{9}in^{3}[/tex]