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

Answer:

Part a) The total volume is $98\ ft^{3}$

Part b) $84\ ft^{3}$

Step-by-step explanation:

Part a)

Find the total volume

we know that

The volume of a rectangular prism is equal to

$V=LWH$

we have

$L=3\frac{1}{2}\ ft=\frac{3*2+1}{2}=\frac{7}{2}\ ft$

$W=3\frac{1}{2}\ ft=\frac{3*2+1}{2}=\frac{7}{2}\ ft$

$H=8\ ft$

substitute in the formula

$V=(\frac{7}{2})(\frac{7}{2})(8)=98\ ft^{3}$

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

$98(6/7)=84\ ft^{3}$