Respuesta :
The rule of the volume of the rectangular prism is
[tex]V=L\times W\times H[/tex]L is the length
W is the width
H is the height
Since the swimming pool is shaped like a rectangular prism with
A length of 16 feet, a width of 36 feet, and a depth of 5 feet, then
L = 16
W = 36
H = 5
The volume of the water in the pool with full capacity is equal to the volume of the pool.
Substitute the values of L, W, and H in the rule to find the volume of the pool
[tex]\begin{gathered} V=16\times36\times5 \\ V=2880\text{ ft}^3 \end{gathered}[/tex](a) The pool can hold 2880 cubic feet
Since they will fill the pool to hold 90% of its capacity, then
We will find 90% of 2880 cubic feet
[tex]\begin{gathered} V=\frac{90}{100}\times2880 \\ V=2592\text{ ft}^3 \end{gathered}[/tex](b) It is 2592 cubic feet of water
