If a cubic foot of water weighs approximately 62.5 pounds, find the weight of the water in a swimming pool which is 16 yards long and 12 yards wide with water to a depth of 7 feet. Answer to the nearest ton.

Why are you multiplying 16 and 12 by 3?

16*3 = 48

12*3 = 36
so volume = 48*36*7 ft^3
so weight = 62.5*48*36*7 pounds
so weight = 62.5*48*36*7 /2000 tons

yards to feet

To find the weight of the water in the swimming pool, we first need to calculate the volume of the pool in cubic feet. Then, we can multiply the volume by the weight of a cubic foot of water.

1. Convert yards to feet:
Since 1 yard is equal to 3 feet, we can convert the dimensions of the pool:
Length = 16 yards * 3 feet/yard = 48 feet
Width = 12 yards * 3 feet/yard = 36 feet
Depth = 7 feet

2. Calculate the volume of the pool:
The volume of a rectangular prism, such as a swimming pool, is given by the formula: volume = length * width * depth.
Volume = 48 feet * 36 feet * 7 feet = 12,096 cubic feet.

3. Calculate the weight of the water:
We are given that a cubic foot of water weighs 62.5 pounds. Therefore, we can multiply the volume by the weight per cubic foot:
Weight = 12,096 cubic feet * 62.5 pounds/cubic foot = 756,000 pounds.

4. Convert pounds to tons:
To convert the weight from pounds to tons, divide the weight by 2,000 (since there are 2,000 pounds in a ton):
Weight in tons = 756,000 pounds / 2,000 pounds/ton = 378 tons (rounded to the nearest ton).

Therefore, the weight of the water in the swimming pool is approximately 378 tons.