Question

Find the width of a rectangular swimming pool (in feet), if it has a volume of 16,500 cubic feet, a uniform depth of 10 feet and a length of 75 feet.
(a) 22
(b) 26
(c) 32
(d) 110

Answer 1

Hint: In this question, we have the length, depth and the volume of the rectangular swimming pool, we need to find the width of the swimming pool by using the formula of volume of cuboid = $l\times b\times h $. By using the required operations, calculate the width of the swimming pool.

Complete step-by-step answer:
Let us first draw the figure of the rectangular swimming pool with the measurements mentioned in the question, that is length = 75 feet, depth = 10 feet and with the volume = 16,500 cubic feet.

Here, we can see that the rectangular shaped swimming pool of uniform depth is in the form of a cuboid, so we can use the formula of volume of cuboid to find the required value. In this question, we need to find the width of the rectangular swimming pool.
We know,
Volume of the cuboid = $l\times b\times h $.
Where, $l $ is the length, $b $ is the breadth and $h $ is the height
According to the question, we can assume the breadth, $b $ as width, $w $ and height, $h $ as depth, $d $.
Therefore, the formula changes to, Volume of the swimming pool = $l\times w\times d $.
Let us substitute the values of volume, length and depth in the above equation, we get
 $\begin{align}
  & V=l\times w\times d \\
 & 16,500=75\times w\times 10 \\
 & 16,500=750\times w \\
\end{align} $
Divide by 750 on both sides of the equation, we get
 $\begin{align}
  & w=\dfrac{16500}{750} \\
 & =\dfrac{1650}{75} \\
 & =\dfrac{110}{5} \\
 & =\dfrac{22}{1}
\end{align} $
Hence, the value of the width of the rectangular swimming pool is 22 feet.

Note: Here, first it is important to draw the figure to easily determine the results to be found. In this question all the units were relatively similar so conversion of units was not required. Remember to input the units after all the required attributes.