Question

${\large{\dashrightarrow{\green{\mathfrak{Question :}}}}}$
List all the formulas for volume of shapes.(cuboid,cone,cube,etc).



${\bf{\red{\underline{No \: Spams}}}}$

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Answer 1

$\huge \sf {\underbrace{\underline{Answer:-}}}$

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$\rm \orange {\underline{\underline{Volume:}}}$

➻The volume of any object or container is the capacity of the container to hold the amount of fluid (gas or liquid).

➻The volume of three-dimensional mathematical shapes like cube, cuboid, cylinder, prism and cone etc. can be easily calculated by using arithmetic formulas.

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$\rm \purple {\underline{\underline{Formulas\: for\: different\: shapes:}}}$

$\to \tt {Cuboid=l\times w\times h}$

★where,

➻l is the length

➻w is the width ,also called breadth(b)

➻h is the height

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$\to \tt {Cone=\frac{1}{3}πr^{2}h}$

★where,

➻r is the radius and h is the height of the cone.

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$\to \tt {Cube=a^{3}}$

★where,

➻a is the length of the edge of the cube

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$\to \tt {Cylinder=πr^{2}h}$

★where,

➻r is the radius of the circular base and h is the height

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$\to \tt {Sphere=\frac{4}{3}πr^{3}}$

★where,

➻r is the radius of the sphere

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$\to \tt {Hemisphere=\frac{2}{3}πr^{3}}$

★where,

➻r is the radius of the Hemisphere

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$\to \tt {Prism=b\times h}$

★where,

➻b is the area of base

➻h is the height of the prism.

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$\to \tt {Pyramid=\frac{1}{3}\times b\times h}$

★where,

➻b is the area of base

➻h is the height of the Pyramid

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$\to \tt {Rectangular\: pyramid=\frac{1}{3}\times l\times w\times h}$

★where,

➻l is the length of the base

➻w is the widht of the base

➻h is the height of the Pyramid

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$\to \tt {Tetrahedron=\frac{a^{3}}{6\sqrt{2}}}$

★where,

➻a is the length of the side

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$\to \tt {Ellipsoid=\frac{4}{3}\timesπ\times a\times b\times c}$

★where,

➻a,b,c are semi-axes of the Ellipsoid.

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$\rm \red {\underline{\underline{Info:}}}$

➻Tetrahedron: A tetrahedron is a polyhedron with 4 faces, 6 edges, and 4 vertices, in which all the faces are triangles. It is also known as a triangular pyramid whose base is also a triangle.

➻Ellipsoid: A spheroid, also known as ellipsoid of revolution or rotational ellipsoid, is a quadric surface obtained by rotating an ellipse about one of its principal axes.

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$\large \sf \green {Thank\: you:)}$

Answer 2

Step-by-step explanation:

Volume of cuboid is length x breadth x height

=lbh

Volume of Cone= 1/3 πr²h

r= radius

h=height

Volume of cube=Side³= a³

a=side

Volume of Cylinder=πr²h

Volume of Sphere=4/3πr³

Volume of Hemisphere=2/3πr³

Volume of tetrahedron=a³/6√2

Volume of pyramid=lbh/3

hope it helps

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