Question

2 questions 90 points

Answer 1

Answer:

 1)   Volume of prism = $\frac{105}{8}ft^3=13.125ft^3$

 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 = $3\frac{1}{2} *2\frac{1}{2}=\frac{3*2+1}{2} *\frac{2*2+1}{2} =\frac{7}{2} *\frac{5}{2}=\frac{35}{4} ft^2$

Volume = $\frac{35}{4}*1\frac{1}{2} =\frac{35}{4}*\frac{1*2+1}{2}=\frac{35}{4}*\frac{3}{2}=\frac{105}{8}ft^3$

 Volume of prism = $\frac{105}{8}ft^3=13.125ft^3$

2) Volume of a prism is given by the expression, Volume V = Base area of prism x Height of prism.

 Base area = $4\frac{1}{4} *3in^2$

 Volume = $4\frac{1}{4} *3*1\frac{1}{4}in^3$

 Option B is the correct answer.