Problema Solution
The bottom is a trapezoid as
shown below with the longer base being 20 feet, the shorter base being 12 feet and the height
being 10 feet. If the depth of the pool is 5 feet, find the volume of the pool in cub
Answer provided by our tutors
Assuming the pool has the shape of a trapezoidal prism we need to find the volume using the formula:
V = (1/2)*h(a + b)l,
where a = longer base, b = shorter base, h = height of the trapezoid, and l = height of the prism (or in our case the depth).
a = 20 ft
b = 12 ft
h = 10 ft
l = 5 ft
We plug the values into the formula:
V = (1/2)*10*(20 + 12)*5
V = 800 ft^3
The volume of the pool is 800 feet cubic.