a a swimming pool having the shape of a rectangular solid has a length of 100 feet, a width of 32 feet,a depth of 8 feet. if the pool is 3/4 full with water,how many cubic feet of water are in the pool
3/4 * 100*32*8 ft^3
To find the volume of water in the pool, we need to calculate the volume of the pool and then multiply it by the fill level (which is 3/4).
The volume of a rectangular solid (pool) can be calculated using the formula:
Volume = length × width × depth
In this case, the length is 100 feet, the width is 32 feet, and the depth is 8 feet.
Volume of the pool = 100 ft × 32 ft × 8 ft
Now, to find the volume of water in the pool, we need to multiply the volume of the pool by the fill level (3/4):
Volume of water = Volume of pool × fill level
Volume of water = (100 ft × 32 ft × 8 ft) × (3/4)
To simplify the calculation, we can first multiply the dimensions:
Volume of water = (3200 ft² × 8 ft) × (3/4)
Volume of water = 25,600 ft³ × (3/4)
Now, multiply the volume of the pool by the fill level:
Volume of water = 25,600 ft³ × 3/4
To find the final answer, perform the multiplication:
Volume of water = 19,200 ft³
Therefore, there are 19,200 cubic feet of water in the pool.