Question

1. For the carnival, the park rented a dunking booth shaped as a rectangular prism. The booth is 3 1/2 ft wide, 3 1/2 ft long, and 8 ft tall. (a) What is the total volume of the dunking booth? (b) If they are only going to fill the dunking booth 6/7 full, how many cubic feet of water will they need?

Answer 1

Part a) The total volume is
`98\ ft^(3)`

Part b)
`84\ ft^(3)`

Explanation:

Part a)

Find the total volume

we know that

The volume of a rectangular prism is equal to

`V=LWH`

we have

`L=3(1)/(2)\ ft=(3*2+1)/(2)=(7)/(2)\ ft`

`W=3(1)/(2)\ ft=(3*2+1)/(2)=(7)/(2)\ ft`

`H=8\ ft`

substitute in the formula

`V=((7)/(2))((7)/(2))(8)=98\ ft^(3)`

Part b) If they are only going to fill the dunking booth 6/7 full, how many cubic feet of water will they need?

Multiply the total volume by 6/7

so

`98(6/7)=84\ ft^(3)`