Math, asked by soumyaganagi, 3 months ago

A tank is 5m long, 4meter wide, 3 m deep. find the capasity of tank?​

Answers

Answered by Anonymous
25

Given: Length, breadth and height of a tank is 5m,4m & 3m.

Need to find: Volume of the tank?

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❍ Let's consider Length, Breadth and height of tank as l, b & h.

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As we know that,

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\begin{gathered}\star\:{\underline{\boxed{\frak{Volume_{\:(Cuboid)} = Length \times breadth \times Height}}}}\\\\ \\:\implies\sf 5\times 4 \times 3 \\  \\    : \implies \underline{ \sf  \bigstar \frak{ \pmb{ \frak{\: cm \times cm \times cm =  {cm}^{3} }}}}\\\\\\ :\implies{\underline{\boxed{\frak{\pink{60 {cm}^{3} }}}}}\:\bigstar\\\\\end{gathered}

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\therefore\:{\underline{\sf{Thus,\:the\:volume\:of\:the\:rank\:is\: {\pmb{\sf{60 \: cm^3}}}.}}}\\

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⠀⠀⠀⠀⠀⠀★ More to know :

  • Volume of prism = V = A_b × H

  • Surface area of cuboid = 2(lw) + 2(hl) + 2(hw)

  • Volume of cuboid = Height × Base × width.

  • Diagonal of cuboid = √(L² + B² + H²)

  • Perimeter of cuboid = 2l + 2W

  • Lateral surface area of cuboid = 2( L + B) H

  • All the faces in a cuboid are equal in length.

  • Cuboid is a also a prism.

Anonymous: Well explained!
Answered by TheAestheticBoy
7

Question :-

  • A tank which is 5 meter long , 4 meter wide , 3 meter deep . Find the Capacity of tank .

Answer :-

  • Capacity of the tank is 60 m³ .

 \rule {180pt}{2pt}

Given :-

  • Lenght of Tank = 5 m
  • Breadth of Tank = 4 m
  • Height of Tank = 3 m

To Find :-

  • Volume of Tank = ?

Solution :-

As per the provided information in the given question, we have been given that the Lenght of Tank is 5 meter , Breadth of Tank is given 4 meter and Height of Tank is 3 meter . And, we have been asked to calculate the Volume of Tank .

For calculating the Volume , we will use Volume of Cuboid formula :-

 \bigstar \: \boxed {\sf \pink { \: Volume \: of \: Cuboid = L \times B \times H \: }}

Where ,

  • L denotes to the Lenght
  • B denotes to the Breadth
  • H denotes to the Height

Therefore, by Substituting the given values in the above Formula :-

 \longmapsto \: \sf {Volume \: of \: Cuboid = L \times B \times H} \\

 \longmapsto \: \sf {Volume \: of \: Cuboid = 5 \times 4 \times 3} \\

 \longmapsto \: \sf {Volume \: of \: Cuboid = 20 \times 3} \\

 \longmapsto \: \textbf {\textsf {Volume \: of \: Cuboid = 60 \: m }} \\

Hence :-

  • Volume of Cuboid = 60 m³ .

 \rule {180pt}{4pt}

Learn More :-

  •  \sf{Volume \: of \: Cube =  ( \: {side}^{3} \: ) }

  •  \sf{Volume \: of \: Cylinder =  \pi    {r}^{2} h }

  •  \sf{Volume \: of \: Cuboid = l \times b \times h}

  •  \sf{Volume \: of \: Cone = \dfrac{1}{3} \: \pi {r} ^{2} h }

  •  \sf{Volume \: of \: Sphere = \dfrac{4}{3} \: \pi {r} ^{3} }
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