Question

a cuboidal tank measures 8m × 6m × 5m. find its volume. how many litres of water it can hold? (ANS. 240 m³; 2,40,000 litres)​

Answer 1

Given : The Length, Breadth and Height of Cuboidal Tank is 8m , 6m & 5m respectively.

Need To Find: Volume and how many litres of water a Tank can hold ?

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❒ Formula to Find Volume of Cuboid is given by :

$\star\boxed {\pink {\sf{ Volume _{(Cuboid)} = l \times b \times h \: cu.units}}}$

Where,

• l is the Length of Cuboidal Tank, b is the Breadth of Cuboidal Tank & h is the Height of Cuboidal Tank .

⠀⠀⠀⠀⠀⠀$\underline {\bf{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}$

$\qquad:\implies \sf { Volume _{(Cuboid)} = 8 \times 6 \times 5 }$

$\qquad:\implies \sf { Volume _{(Cuboid)} = 48 \times 5 }$

⠀⠀⠀⠀⠀$\underline {\boxed{\pink{ \mathrm {  Volume _{(Cuboid)} = 240\: m^{3}}}}}\:\bf{\bigstar}$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  Volume \:of\:Tank \:is\:\bf{240\: m^{3}}}}}$

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As , We know that ,

$\qquad \star \large {\bf{\bigg( 1m^3 = 1000\: liters \bigg) }}$

Then ,

• Amount of Water Tank can hold = Volume of Tank in m³ × 1000

• Volume of Tank = 240 m³

Then ,

• Amount of Water = 240 × 1000

⠀⠀⠀⠀⠀$\underline {\boxed{\pink{ \mathrm {  Amount \:of\:Water\:= 2,40,000\:liter}}}}\:\bf{\bigstar}$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  Amount \:of\:Water \:\:Tank \:can\:hold\:is\:\bf{2,40,000\: liters.}}}}$

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