Let us calculate the volume of the swimming pool as shown below.
Let us divide the swimming pool into two sections as shown in the red dotted line.
1. Section-1 👉 rectangular prism.
2. Section-2 👉 triangular prism.
1. The volume of a rectangular prism:
Given data:
Length = L = 15m.
Width = W = 6m.
Depth = D = 0.9m.
Now, the volume of the rectangular prism
= [length × width × depth]
= [ 15m. × 6m. × 0.9m.]
= 81 cum.
2. The volume of a triangular prism:
The volume of the right-angle triangular prism
= [0.5 × base × depth × width]
Here,
Base = [15m - 4m.]
= 11m.
Depth = [1.8m - 0.9m]
= 0.9m.
Width = 6m.
Putting the values in the above formula,
The volume of the triangular prism
= [ 0.5 × 11m. × 0.9m. × 6m.]
= 29.7m.
The volume of the swimming pool
= Volume of [section -1 + section -2 ]
= [ 81 cum. + 29.7 cum.]
= 110.70 cum.
The maximum water holding capacity of the swimming pool:
As you know, 1cum = 1000 liters.
Maximum capacity of swimming pool
= [ total volume. × 1000 liters]
= [ 110.70 cum. × 1000 liters]
= 1,10,700 liters.
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Thank you for going through these calculation steps❤. Have a good day 😄.
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