Question

A swimming pool in the shape of a rectangular prism is $20.1m$ long, $8.4m$ wide, and $1.9m$ deep. How much water can the pool hold?

Answer 1

Hint: Here it is given that a swimming pool is in the shape of a rectangular prism and we can also say that the shape of a rectangular prism is nothing but a cuboid. The given dimensions are the length, width (breadth), and height of a cuboid. We need to just apply the given values in the below formula.

Formula used:
Volume of cuboid $ = $ length $ \times $ breadth $ \times $ height (Here length, breadth, and height are the dimensions of the cuboid).

Complete step by step solution:
First, we need to note the given information.
Here the rectangular prism will be in a cuboidal shape.
Now, let us represent the given information using a figure.

Hence, we are able to say that a rectangular prism and a cuboid are the same.
Hence, the length of the cuboid is$20.1m$, the breadth of the cuboid is$8.4m$ and the height of the cuboid is$1.9m$ .
Now, we shall substitute the above-given values in Volume of cuboid $ = $ length $ \times $ breadth $ \times $ height
(Here length, breadth, and height are the dimensions of the cuboid)
Thus, we have Volume of cuboid \[ = 20.1 \times 8.4 \times 1.9\]
 \[ \therefore 320.796\]
Therefore, the volume of the rectangular prism is \[320.796{m^3}\] and the pool can hold \[320.796{m^3}\] water.

Note:
Here, we are given a rectangular prism and it is nothing but a cuboid. The dimensions of the cuboid are$20.1m,8.4m,1.9m$. We may get confused to choose the length, breadth, and height from the given$20.1m,8.4m,1.9m$. When we analyze the figure of the cuboid, we are able to note that the length is the largest dimension and height is the smallest dimension.