Question

An Olympic swimming pool is in the shape of a cuboid of dimensions 50 m long and 25 m wide. If it is 3 m deep throughout, how many liters of water does it hold?
A) 3750 liters
B) 3775 liters
C) 3800 liters
D) 3850 liters

Answer 1

Hint:
Here, we will find the capacity of a swimming pool. We will substitute the given dimensions in the formula of volume of cuboid because the swimming pool is in the shape of a cuboid. Then we will solve it further to find the capacity of the swimming pool.
Formula used: Volume of cuboid is given by the formula \[V = l \times b \times h\] where \[l,b,h\] are the length, breadth and height respectively.

Complete Step by Step Solution:
We are given an Olympic swimming pool which is in the form of a cuboid.
The dimensions of a swimming pool are 50 m long, 25 wide and 3 m deep inside the pool.
By substituting \[l = 50m\], \[b = 25m\] and \[h = 3m\] in the formula \[V = l \times b \times h\], we get
Volume of Cuboid \[ = 50m \times 25m \times 3m\]
Multiplying the terms, we get
\[ \Rightarrow \] Volume of Cuboid \[ = 3750{m^3}\]
\[ \Rightarrow \] Volume of the swimming pool \[ = 3750\] liters
So, the water in the swimming pool is equal to the volume of the swimming pool.
Thus, the water in the swimming pool \[ = \] volume of the swimming pool
Thus, the water in the swimming pool \[ = 3750\] liters
Therefore, the swimming pool can hold 3750 liters of water in it.

Thus option (A) is the correct answer.

Note:
The volume is defined as the quantity of the substance that a three-dimensional space can contain. A cuboid is a three-dimensional shape that has rectangles on all its faces. Volume is found out for three-dimensional objects but the area is found out for two-dimensional shapes. So we should get confused between the area and volume. Here, capacity means the volume an object can contain and the area of the object.