Question

How many liters of water does this fish tank hold?
A. $2.4L$
B. $24L$
C. $4.8L$
D. $100L$

Answer 1

Hint: In this question length, breadth, and height of the tank is given so in order to find the volume of water in liters. Firstly, we will calculate the volume of the tank then we will convert the units of volume into liters.

Complete step-by-step solution:
Given that length of tank = 50 cm
Breadth of tank = 20 cm
Height of tank = 24 cm
From the figure, it is observed that the tank is in the shape of a cuboid whose length, breadth, and height are given.
In order to calculate the volume of the tank, we have to evaluate the volume of the cuboid which is the shape of the given tank.
As we know that the volume of the cuboid is given as under.
Volume of cuboid = length $ \times $ breadth $ \times $ height of cuboid
By substituting the given values of length, breadth and height in the above formula, we have
 \[ \Rightarrow \] Volume of cuboid \[ = {\text{ }}50{\text{ }}cm{\text{ }} \times {\text{ }}20{\text{ }}cm{\text{ }} \times {\text{ }}24{\text{ }}cm\]
\[ \Rightarrow \] Volume of cuboid \[ = 24000c{m^3}\]
As we know that \[1000c{m^3}\] = 1 Litre
So by converting \[c{m^3}\] into litre, we get
Volume of cuboid = \[24 \times 1000c{m^3}\]
\[ = 24,000c{m^3}\]
Volume of cuboid = 24 litres
Hence, the fish tank will hold 24 litres of water and the correct answer is option B.

Note: The key difference between a cube and cuboid is that a cube has six square-shaped faces of the same size but a cuboid has rectangular faces. The volume of the cuboid is defined as $l \times b \times h$ where l is the length of the cuboid, b is the breath of the cuboid, and “h” is the height of the cuboid. So for calculation the volume of cuboid length, breadth and height are required parameters.