A typical house in the 1950's had a concrete rectangular water cistern in their basement to hold water for all the household needs. The inside dimensions were 9 feet 3 inches by 8 feet 8 inches by 6 feet 9 inches. If the cistern was completely filled with water what was the volume to the nearest HUNDREDTH number in cubic feet?
Question
A typical house in the 1950's had a concrete rectangular water cistern in their basement to hold water for all the household needs. The inside dimensions were 9 feet 3 inches by 8 feet 8 inches by 6 feet 9 inches. If the cistern was completely filled with water what was the volume to the nearest HUNDREDTH number in cubic feet?
Solution
To find the volume of the cistern, we need to multiply its length, width, and height. However, the dimensions are given in feet and inches, so we first need to convert everything to the same unit.
1 foot = 12 inches.
So,
9 feet 3 inches = 9.25 feet, 8 feet 8 inches = 8.67 feet, and 6 feet 9 inches = 6.75 feet.
Now, we can calculate the volume:
Volume = length x width x height = 9.25 feet x 8.67 feet x 6.75 feet = 541.69 cubic feet.
So, the volume of the cistern when completely filled with water is approximately 541.69 cubic feet.
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