Question

assume that water tank is in the form of a cuboid whose dimensions are 4m , 5m , 10m . what is the capacity of the tank in litres​

Answer 1

Given :

• Length of Tank = 4 m
• Breadth of Tank = 5 m
• Height of Tank = 10 m

To Find :

• Capacity in litres = ?

SolutioN :

$\maltese$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Volume = Length \times Breadth \times Height }}}}}$

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$\maltese$ Calculating the Volume :

${\longmapsto{\qquad{\sf{ Volume = Length \times Breadth \times Height }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ Volume = 4 \times 5 \times 10 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ Volume = 20 \times 10 }}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\pink{\pmb{\frak{ Volume = 200 \; {m}^{3} }}}}}}}}$

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$\maltese$ Calculating the Volume in Litres :

$\begin{gathered} \dashrightarrow \; \; \sf { Volume{\small_{(Litres)}} = Volume \times 1000 } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { Volume{\small_{(Litres)}} = 200 \times 1000 } \; \qquad \bigg\lgroup {\red{\pmb{\frak{ 1 \; {m}^{3} = 1000 \; Litres }}}} \bigg\rgroup \\ \end{gathered}$

${\qquad \; \; {\therefore \; {\underline{\boxed{\purple{\pmb{\frak{ Capacity \; of \; Tank = 20000 \; Litres }}}}}}}}$

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$\maltese$ Therefore :

❛❛ Capacity of the Tank is 20000 Litres . ❜❜

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Answer 2

Given :-

Dimensions of Cuboid = 4m , 5m , 10m

To Find :-

Capacity of the tank in litres :-

Formula Used here :-

Volume of Cuboid = L × B × H

Volume of Cuboid = 4m × 5m × 10m

Volume of Cuboid = 200m³

Now in litres :-

1 m³ = 1000 Litres

200 m³ = 200 × 1000 Litres

= > 200000 Litres.

Capacity of the tank in litres = 200000 Litres