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?
Accepted Solution
A:
Answer:a) The volume of the dunking booth = 98 feet³b) They will need 84 feet³ of water to fill 6/7 of dunking boothStep-by-step 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 feet³a) 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 feet³b) * They will need 84 feet³ of water