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# A cuboid water tank is 6m long, 5m wide and 4.5m deep. How many liters of water can it hold?

Last updated date: 16th Jul 2024
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Hint: In this question, we are given the measurement of a cuboid water tank and need to find the volume of water it can hold. For this, we need to find the volume of the cuboid water tank using the formula of the volume of the cuboid given by $V=l\times b\times h$ where V is the volume of the cuboid, l is the length of the cuboid, b is the breadth of the cuboid and h is the height of the cuboid. Since we will get volume in ${{m}^{3}}$ but we want volume in liters, so, we will use the following formula for conversion $1{{m}^{3}}=1000l$.

As we know, the volume of a cuboid is given by $V=l\times b\times h$ where, V is the volume of the cuboid, l is the length of the cuboid, b is the breadth of the cuboid and h is the height of the cuboid.
\begin{align} & V=l\times b\times h \\ & \Rightarrow V=6m\times 4.5m\times 5m \\ & \Rightarrow V=135{{m}^{3}} \\ \end{align}
Hence, the volume of the cuboidal water tank is $135{{m}^{3}}$. So it can hold 135 cubic meters of water. But we need to find the volume of water it can hold in liters. So let us convert the units of volume using the following formula: 1 cubic meter = 1000 liters.
Hence, $135{{m}^{3}}=\left( 1000\times 135 \right)\text{Liters}=135000\text{Liters}$.
Note: Students should always take care of the units while solving these sums. They should check that all the given measurements must be in the same units. Here depth and height are the same , width and breadth are the same. If we were given measurements in cm, then in liters $1000c{{m}^{3}}=1\text{Liters}$.