Math, asked by irshadsial786, 3 months ago

A rectangular tank has square base of side 25cm and height 20 cm.find its capacity in litres​

Answers

Answered by asahilthakur
0

Answer:

12.5 litres

Step-by-step explanation:

Side of square base = 25 cm

Area of base = (25)² = 625 cm²

Height = 20 cm

Volume of tank = (625×20) cm³ = 12500 cm³

12500 cm³ = 12.5 litres

Answered by mathdude500
4

\large\underline{\sf{Solution-}}

Given that

  • A rectangular tank has square base of side 25cm and height 20 cm.

It implies

 \:  \:  \:  \:  \:  \:  \:  \:  \bull \:  \sf \:  \: Length_{(tank)} = 25 \: cm

 \:  \:  \:  \:  \:  \:  \:  \:  \bull \:  \sf \:  \: Breadth_{(tank)} = 25 \: cm

 \:  \:  \:  \:  \:  \:  \:  \:  \bull \:  \sf \:  \: Height_{(tank)} = 20 \: cm

Now, we have to find capacity of the tank, that means we have to find the volume of tank.

We know,

 \boxed{ \sf \: Volume_{(tank)} =Length_{(tank)} \times Breadth_{(tank)} \times Height_{(tank)} }

On substituting the values, we get

\rm :\longmapsto\:Volume_{(tank)} = 25 \times 25 \times 20

\rm :\longmapsto\:Volume_{(tank)} = 12500 \:  {cm}^{3}

\rm :\longmapsto\:Volume_{(tank)} = \dfrac{12500}{1000}  \: litres

  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \boxed{ \red{ \sf \:  \because \: 1 \: litre \:  =  \: 1000 \:  {cm}^{3} }}

\bf\implies \:Volume_{(tank)} = 12.5 \: litres

Additional Information :-

Additional Information

Cube: 

  • A cube has six faces, eight vertices and twelve edges. All the faces of the cube are in square shape and have equal length.

Cuboid: 

  • A cuboid has six faces, eight vertices and twelve edges. The faces of the cuboid are parallel. But not all the faces of a cuboid are equal in dimensions.

Formula's of Cube :-

  • Total Surface Area = 6(side)²

  • Curved Surface Area = 4(side)²

  • Volume of Cube = (side)³

  • Diagonal of a cube = √3(side)

  • Perimeter of cube = 12 x side

Formula's of Cuboid

  • Total Surface area = 2 (Length x Breadth + breadth x height + Length x height)

  • Curved Surface area = 2 height(length + breadth)

  • Volume of the cuboid = (length × breadth × height)

  • Diagonal of the cuboid =√(l² + b² + h²)

  • Perimeter of cuboid = 4 (length + breadth + height)

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