Question
To perform at their best, Anita and her gymnastics teammates are taking lessons from a former Olympic gymnast at a new gym near their school. The center of the gym has a large pit shaped like a rectangular prism filled with foam cubes. The pit is 18 feet long, 15 1/2
feet wide, and has a volume of 2,790 cubic feet.
How deep is the pit?
Write your answer as a whole number, proper fraction, or mixed number.
feet wide, and has a volume of 2,790 cubic feet.
How deep is the pit?
Write your answer as a whole number, proper fraction, or mixed number.
Answers
GPT 3.5
To find the depth of the pit, we can use the formula for the volume of a rectangular prism:
Volume = length x width x height
Given:
Volume = 2,790 cubic feet
Length = 18 feet
Width = 15 1/2 feet
Substitute the given values into the formula and solve for the height (depth) of the pit:
2,790 = 18 x 15.5 x h
2,790 = 279 x h
h = 2,790 / 279
h = 10
Therefore, the depth of the pit is 10 feet.
Volume = length x width x height
Given:
Volume = 2,790 cubic feet
Length = 18 feet
Width = 15 1/2 feet
Substitute the given values into the formula and solve for the height (depth) of the pit:
2,790 = 18 x 15.5 x h
2,790 = 279 x h
h = 2,790 / 279
h = 10
Therefore, the depth of the pit is 10 feet.