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

a) 98

b) 84

hope this helps!

Answer 2

a) The volume of the dunking booth = 98 feet³

b) They will need 84 feet³ of water to fill 6/7 of dunking booth

Explanation:

* Lets talk about the rectangular prism

- It has 6 rectangular faces each two opposite faces are congruent

- It has three dimensions Length, Width and Height

- Its volume = Length × Width × height

* In our problem the dunking booth is a rectangular prism

with dimensions:

- Width = 3.5 ft

- Length = 3.5 ft

- Height = 8 ft

∴ Its volume = 3.5 × 3.5 × 8 = 98 feet³

a) The volume of the dunking booth = 98 feet³

* They want to fill 6/7 of the dunking booth with water

∴ The volume of the water will be 6/7 from the volume

of the dunking booth

∵ The volume of the dunking booth = 98 feet³

∴ The volume of the water = 6/7 × 98 = 84 feet³

b) * They will need 84 feet³ of water