Respuesta :
Answer:
Dimension of pool are length = 12 feet, width = 54 feet and depth = 6 feet.
Solution :
Need to find dimensions of a swimming pool.
Depth of pool = 6 feet
Given that one side of the pool is 4.5 times longer than other.
Let’s say width of pool = x
So other side that is length of the pool = 4.5x
[tex]\text { Volume of cuboid }=\text { length } \times \text { width } \times \text { depth }[/tex]
[tex]\text { volume of swimming pool }=6 \times x \times 4.5 x[/tex]
volume of pool = [tex]27 x^{2}[/tex] --- eqn 1
Also given that amount of water needed to fill the pool is 3888 cubic feet that is volume of pool is 3888 cubic feet. Substituting volume in equation (1)
[tex]3888=27 x^{2}[/tex]
Now solving above equation for x.
[tex]x^{2}=\frac{3888}{27}=144=12^{2}[/tex]
so x = 12
so width of pool = x = 12 feet
By substituting the value of “x” we get length of pool
And length of pool = 4.5x = 4.5 [tex]\times[/tex] 12 = 54 feet
Hence dimension of pool are length = 12 feet, width = 54 feet and depth = 6 feet.
