 # The volume of the different geometric shapes

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Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
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The volume of the different geometric shapes

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What is the volume? The volume is a value which helps to define the space occupied by a particular body. Denotes it by the symbol V, in accordance with the standards of the International System of Units.

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Prism Prism is a polyhedron, where two faces (bases) are equal polygons with a correspondingly parallel sides and lateral sides is a parallelogram.

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Types of prisms The correct prism The straight prism The rickety prism

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The volume of prism The volume of prism (V) is the product of its base on height: where V - volume of prism, So - footprint of the prism, h - the height of the prism. V = Sосн · h

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What is a pyramid ? Pyramid is a polyhedron, the basis of which is the polygon and the remaining faces are triangles with a common vertex.

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The volume of the pyramid The volume of the pyramid equal to one third of the area of its base product on height: where V - volume of the pyramid, So - square base of the pyramid, h - the length of the height of the pyramid. V = 1/3 Soсн · h

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What is a parallelepiped? Parallelepiped is a polyhedron that has six faces and each of them parallelogram.

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The volume of the parallelogram The volume of parallelepiped is the product footprint on height: where V - volume parallelepiped, So - footprint, h - height length. V = Sосн · h

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What is rectangular parallelepiped? A rectangular parallelepiped is a parallelepiped, where all of sides are rectangles.

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The volume of a rectangular parallelepiped The volume of a rectangular parallelepiped equal to the product of its length, width and height: where V - volume of a rectangular parallelepiped, a - length, b - width, h - height.

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What is a tetrahedron? Tetrahedron is the simplest polyhedron, where the faces there are four triangle.

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The volume of a regular tetrahedron V = a3√2 12 where V - volume of a regular tetrahedron, a - the length of the edges of a regular tetrahedron.

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What is the cylinder? The cylinder is a geometric body limited the cylindrical surface and by two parallel planes that cross it.

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The volume of the cylinder The volume of the cylinder equal to the product of the square of base on height: where V - volume of the cylinder, So - footprint cylinder, R - radius, h - the height of the cylinder, π = 3.141592. V = π · R2 ·h V = Soсн · h

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What is the cone? The cone is a body received the union of all rays emanating from a single point (top cone) and pass through a flat surface.

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The volume of a cone The volume of the cone is equal to one third of its product area of bases on high: where V - volume of the cone, So - footprint cone R - radius of the base of the cone, h - the height of the cone, π = 3.141592.

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What is the bullet ? Bullet is a geometric body, limited surface, all points of which are placed equidistant from the center. This distance is called the radius of the ball.

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The volume of bullets The volume of bullets equal to four thirds of its radius in a cube multiplied by the number pi : where V - volume of balls, R - radius of the ball, π = 3.141592. V = 4 · π R 3 3

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Thank you for attention !

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