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?

a) The volume of the dunking booth = 98 feet³

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

Step-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 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

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐

whole number data type

step-by-step explanation:

as whole number type represents whole number

like 1, 2 ,3, 4

in other words the whole numbers are those numbers which cannot be written infraction.

since we can take days as a whole number i.e 1 day 2 day and we cannot write 1.2 day hence we will use whole number data type