Question

A storage room is 6m long,5m wide and 3.5m high.How many tanks of capacity 120 litres each,can it hold

Answer 1

$\huge\mathbb{\underline{SOLUTION:-}}$

$\bold{Given:-}\begin{cases}\sf{Dimension\:of\:room}\\ \sf{l=6m\: ,=5m\:, h=3.5m}\end{cases}$

• How many tanks of capacity 120 litres can it hold .

$\boxed{\sf{Volume \:of\: cuboid=l\times b\times h}}$

$\bf\underline{\red{According\:to\: Question;-}}$

• Now find the volume of room

$\sf\implies Volume \:of\:room=6m\times 5m\times3.5\\ \\ \sf\implies Volume =30m{}^{2}\times 3.5m\\ \\ \sf\implies Volume =105m{}^{3}$

• The volume of room is 105 cubic metre

• Covert cubic metre to litre

$\boxed{\sf{1m{}^{3}=1000litre}}$

$\sf\implies 105m{}^{3}=1000\times 105\\ \\ \sf\implies 105000litre$

$\boxed{\sf{\purple{Capacity\:of\:room=105000litre}}}$

$\boxed{\sf{tanks\:it\:can\: hold=\frac{capacity\:of\:room}{capacity\:of\:tanks}}}$

$\sf\implies tanks\: it \:can \:hold=\frac{10500\cancel{0}}{12\cancel{0}}\\ \\ \sf\implies tabks\:it\:can\:hold=\cancel{\frac{10500}{12}}\\ \\ \sf\implies Tanks\:it\:can\:hold=875$

$\boxed{\sf{\red{Number\:of\: tanks\:it\:can\:hold=875}}}$

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Answer 2

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