Question

2 questions 90 points

#1
What is the volume of the prism?



Enter your answer in the box as a mixed number in simplest form.

#2

Answer 1

1) Volume of prism =
`(105)/(8)ft^3=13.125ft^3`

2) Option B is the correct answer.

Step-by-step explanation:

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

Base area =
`3(1)/(2) *2(1)/(2)=(3*2+1)/(2) *(2*2+1)/(2) =(7)/(2) *(5)/(2)=(35)/(4) ft^2`

Volume =
`(35)/(4)*1(1)/(2) =(35)/(4)*(1*2+1)/(2)=(35)/(4)*(3)/(2)=(105)/(8)ft^3`

Volume of prism =
`(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(1)/(4) *3in^2`

Volume =
`4(1)/(4) *3*1(1)/(4)in^3`

Option B is the correct answer.