Problema Solution
a swimming pool is 8 feet deep, 25 feet long, and 12 feet wide. the water in it comes up to a level 2 feet below the top edge. find the volume of water in the pool.
Answer provided by our tutors
we will assume that swimming pool is in the shape of a rectangular prism with dimensions:
l = 25 ft length
w = 12 ft width
h = 8 ft height
the water in it comes up to a level 2 feet below the top edge thus we have to calculate the volume of a rectangular prism that has a height 2 ft less then the height of the pool. The dimensions of this rectangular prism will be
l1 = 25 ft length
w1 = 12 ft width
h1 = 8 - 2 = 6 ft height
the volume of a prism V = length*width*height
V = 25*12*6
V = 1800 ft^3
since 1 ft = 0.3048 m follows 1 ft^3 = (0.3048)^3 m^3
V = 1800 * (0.3048)^3 m^3
V = 50.9703 m^3
1 m^3 = 1000 l of water
V = 50,970.3 l
the volume of water in the pool is 50,970.3 liters.