Question

$\dag\large{ \underline{ \underline{ \sf{ \pink{Question :}}}}}$

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

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Answer 1

Step-by-step explanation:

Given:

l=6m, b=5m, h=4.5m

⇒Volume of tank =l×b×h

⇒V=6×5×4.5=135m^ 3

⇒Amount of water hold by 1m ^3

volume =1000l

Amount of water hold by 135m ^3

volume

=135×1000

=135000l

Hope it helps

Answer 2

Given : A Cuboidal water tank is 6 m long ,5 m wide and 4.5 m deep .

To Find : How many Litres of water it can hold

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SolutioN :

$\dag \; {\underline{\underline{\sf{ \; Calculating \; the \; Volume \; :- }}}}$

$\begin{gathered} \; \; \; \; \; \blue\longrightarrow \; \; \orange{\sf { Volume = length \times Width \times Height }} \\ \\ \\ \end{gathered}$

$\begin{gathered} \; \; \; \; \; \longrightarrow \; \; \sf { Volume = 6 \times 5 \times 4.5 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \; \; \; \; \; \longrightarrow \; \; \sf { Volume = 6 \times 5 \times \dfrac{45}{10} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \; \; \; \; \; \longrightarrow \; \; \sf { Volume = \dfrac{30}{1} \times \dfrac{45}{10} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \; \; \; \; \; \longrightarrow \; \; \sf { Volume = \dfrac{1350}{10} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \; \; \; \; \; \longrightarrow \; \; \sf { Volume = \cancel\dfrac{1350}{10} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \; \; \; \; \;\longrightarrow \; \; {\underline{\boxed{\pmb{\red{\frak{ Volume{\small_{[Tank]}} = 135 \; {m}^{3} }}}}}} \; \green\bigstar \\ \\ \\ \end{gathered}$

$\dag \; {\underline{\underline{\sf{ \; Water \; it \; Can \; Hold \; :- }}}}$

$\begin{gathered} \; \; \; \; \; \dashrightarrow \; \; \sf { Capacity = Volume{\small_{[ {m}^{3} ] }} \times 1000 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \; \; \; \; \; \dashrightarrow \; \; \sf { Capacity = 135 \times 1000 } \qquad \; \; \bigg\lgroup {\pink{\sf{ 1 \; {m}^{3} = 1000 \; Litres }}} \bigg\rgroup \\ \\ \\ \end{gathered}$

$\begin{gathered} \; \; \; \; \; \dashrightarrow \; \; \sf { Capacity = 135 \times 1000 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \; \; \; \; \;\dashrightarrow \; \; {\underline{\boxed{\pmb{\purple{\frak{ Capacity{\small_{[Tank]}} = 135000 \; Litres }}}}}} \; \red\bigstar \\ \\ \\ \end{gathered}$

$\therefore \;$ Tank can hold 135000 Litres .

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