Question

the volume of a cuboidal tank is 182 m . If its length and breadth be 8 m and 6.5 m respectively, find its depth.​

Answer 1

Answer:

the depth of the rectangular tank is 3.5 m

Step-by-step explanation:

v=lbh

lwh=182 m³

length=8 m

bredth=6.5

182=8*6.5*h

182=52*h

h=182/52=3.5 m

the depth of the rectangular tank is 3.5 m

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Answer 2

Given : Volume of a rectangular tank is 182m & Length of rectangular tank is 8m & Breadth of rectangular tank is 6.5m.

To Find : Find the depth/height of the rectangular tank ?

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Solution : Let the height of the rectangular tank be x.

$~$

◗Since, the rectangular tank will be in the form of a cuboud.

$~$

$\underline{\frak{As ~we~ know ~that~:}}$

• $\boxed{\sf\pink{Volume~ of ~Cuboid ~= ~(Length~×~ Breadth ~×~ Height)}}$

$~$

Where,

• Height = h
• Length = l
• Breadth = b

$~$

$\pmb{\sf{\underline{According ~to ~the ~Given~ Question~:}}}$

$~$

$\qquad{\sf:\implies{ 182~ =~ 8 ~×~ 6.5 ~× h}}$

$\qquad{\sf:\implies{182~ =~ 52 ~×~h}}$

$\qquad{\sf:\implies{182 ~= ~52h}}$

$\qquad{\sf:\implies{h~=~\dfrac{182}{52}}}$

$\qquad:\implies{\underline{\boxed{\frak{\pink{h~=~3.5~m}}}}}$★

$~$

Hence,

$\therefore\underline{\sf{The ~depth/height ~of~ rectangular ~tank~ is~\bf{\underline{ 3.5~m}}}}$

$~$

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V E R I F I C A T I O N :

$\qquad{\rm\dashrightarrow{182~ = ~8 ~×~6.5~×~ h}}$

$\qquad{\rm\dashrightarrow{182~ = ~52 ~×~3.5}}$

$\qquad\dashrightarrow\large\pmb{\frak\red{182 ~=~182}}$