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Volume of Pyramid : (Pyramid ) :There room different species of pyramid, relying on their bases. If the basic is triangle climate it is dubbed triangular pyramid . If base is rectangle then it is called as rectangle-shaped pyramid and also so on.Volume of this solids are depending upon the area of your bases.
Volume of triangular Pyramid V = 1/3 x Area of triangular basic x height(H)V = 1/3( base x height) / 2 x HVolume the Hexagonal PyramidV = 1/3 x Area the hexagon x HV = 6 x (√3 / 4 ) (side)2 x HV = 1/3(AP/ 2) x H ( A = apothem ; p = perimeter)Volume the Pentagonal PyramidVolume = 1/3 x area of basic x height(H)V = 1/3 (AP/ 2) x H ( A = apothem ; ns = perimeter)Some fixed examples1) If the size of every side the the base of a triangle pyramid is 6 cm and also its height is 10 cm, find its volume. ( √3 = 1.73)Solution :Area of base = √3 / 4 x (side)2⇒ Area = √3 / 4 x (6)2⇒ Area = √3 /4 x 36∴ Area = 9 √3 cm2Pyramid volume = 1/3 x area of base x height⇒ Pyramid volume = 1/3 x 9 √3 x 10⇒ Volume = 30 √3⇒ Volume = 30 x 1.73⇒ Volume = 51.9 cm3_____________________________________________________________________2) If the length of every side the a square pyramid is 4 cm and its elevation is 12 cm.Solution :Area of basic = side x side⇒ Area = 4 x 4⇒ Area = 16 cm2Pyramid volume = 1/3 x area of base x height⇒ Volume = 1/3 x 16 x 12⇒ Volume = 64 cm3_____________________________________________________________________3) find the volume of a continual hexagonal pyramid with an apothem size of 6 cm,side 3 cm and also height that the pyramid is 21 cm.Solution :apothem = A = 6 cm and also side = 3 cm height = H =21 cmPerimeter = 3 x 6 = 18 cmArea of basic (hexagon) = AP /2⇒ Area = (6 x 18 )/2⇒ Area = 54 cm2volume of pyramid=1/3 x( Area of base) x H∴ V = 1/3 x 54 x 21∴ Volume = 378 cm3Volume :• Volume Formulas• Volume of irregular Shape• Volume that Cube• Volume of rectangle-shaped Prism(Cuboid)• Volume that Cylinder• Cone volume• Sphere"s volume• Hemisphere"s volume• Prism"s volume• Volume the PyramidFrom Pyramid come MensurationFrom Pyramid to home Page
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