Question

The capacity of a rectangular tank is 189 kilolitres. It is 7 m long and 4.5 m high. Find its breadth
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Answer 1

Answer :

• breadth is 6m

Given ;

• The capacity of a rectangular tank is 189 kilolitres. It is 7 m long and 4.5 m high.

To find :

• Breadth

Solution :

• Length is 7m
• height is 4.5m

• volume of rectangular is 189 kilolitres then 189 × 10³litres
• 10³litre is 1m³

Then 189 × 10³ litres = 189m³

As we know that

• volume of cuboid = lbh

where l is length 7m , b is breadth b and h is height 4.5 m

↝ length × breadth × height

↝189 = 7 × b × 4.5

↝ 189 = 31.5 × b

↝ b = 189/31.5

↝ b = 6 m

Hence breadth is 6m

Answer 2

AnswEr-:

$\boxed{\mathrm{Breadth\:of\:Rectangular \:Tank\:= 6 m}}$

Explanation-:

• $\mathrm{Given-:}$

• The capacity of a rectangular or Cuboidial tank is 189 kilolitres.
• Length of Tank is 7 m .
• Height of Tank is 4.5 m

• $\mathrm{To\:Find-:}$

• The Breadth of Rectangular or Cuboidial Tank .

$\dag{\mathrm{Solution \:of\:Question \:-:}}$

As , We know that -:

• [ 1000 liters = 1 kilo litre]
• Then ,
• The capacity of a rectangular or Cuboidial tank is 189 kiloliters = 189000 liters

We also know that ,

• [ 1000 liters = 1 m³ ]
• Then ,
• The Volume of Tank -: $\sf{\dfrac{189\cancel{000}}{\cancel{1000}}}$ = 189 m³

Now ,

• $\underline{\boxed{\star{\sf{\blue{ Volume_{(Cuboidial\:Tank)}  \: = \: Length \times Breadth \times Height cube.\:units}}}}}$

Here ,

• Length of Tank is 7 m .
• Length of Tank is 7 m .Height of Tank is 4.5 m
• The Volume of Tank is 189 m³
• The Breadth of Tank is ??

Now By Putting known Values in Formula of Volume-:

• $\longrightarrow {\mathrm{7 \times 4.5 \times Breadth = 189m^{3}}}$

• $\longrightarrow {\mathrm{31.5 \times Breadth = 189m^{3}}}$

• $\longrightarrow {\mathrm{ Breadth = \dfrac{189}{31.5}}}$

• $\longrightarrow {\mathrm{ Breadth = \dfrac{\cancel {189}}{\cancel {31.5}}}}$

• $\longrightarrow {\mathrm{Breadth = 6 m}}$

Hence -:

• $\longrightarrow {\mathrm{Breadth\:of\:Rectangular \:Tank\:= 6 m}}$

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