Answer:
1) Volume of prism = [tex]\frac{105}{8}ft^3=13.125ft^3[/tex]
2) Option B is the correct answer.
Explanation:
1) Volume of a prism is given by the expression, Volume V = Base area of prism x Height of prism.
Base area = [tex]3\frac{1}{2} *2\frac{1}{2}=\frac{3*2+1}{2} *\frac{2*2+1}{2} =\frac{7}{2} *\frac{5}{2}=\frac{35}{4} ft^2[/tex]
Volume = [tex]\frac{35}{4}*1\frac{1}{2} =\frac{35}{4}*\frac{1*2+1}{2}=\frac{35}{4}*\frac{3}{2}=\frac{105}{8}ft^3[/tex]
Volume of prism = [tex]\frac{105}{8}ft^3=13.125ft^3[/tex]
2) Volume of a prism is given by the expression, Volume V = Base area of prism x Height of prism.
Base area = [tex]4\frac{1}{4} *3in^2[/tex]
Volume = [tex]4\frac{1}{4} *3*1\frac{1}{4}in^3[/tex]
Option B is the correct answer.
