Kimberly's parents added a hot tub to the backyard this summer, so Kimberly is hosting a hot tub and movie night for her close friends. The hot tub is shaped like a rectangular prism. It is 7 feet long, 3 1/4
feet deep, and has a volume of 159 1/4
cubic feet.
What is the width of the hot tub?
Write your answer as a whole number, proper fraction, or mixed number.
To find the width of the hot tub, we can use the formula for the volume of a rectangular prism, which is length x width x depth.
Given:
Length = 7 feet
Depth = 3 1/4 feet
Volume = 159 1/4 cubic feet
Let's plug in the values and solve for the width:
7 feet x width x 3 1/4 feet = 159 1/4 cubic feet
Now, let's multiply the length and the depth:
7 x 3 1/4 = 22 3/4
So, we have:
22 3/4 x width = 159 1/4
To solve for the width, we need to divide both sides by 22 3/4:
width = 159 1/4 / 22 3/4
width = 159.25 / 22.75
width = 7
Therefore, the width of the hot tub is 7 feet.