Volume is the space enclosed by a three-dimensional object. When calculating volume, you are calculating the number of cubic units that object can hold inside.<\/p>\n
Volume = s3<\/sup> = s x s x s<\/p>\n Where s is the length of the side of the cube<\/p>\n Example: A cube with side lengths of 4 cm<\/p>\n V = s3<\/sup><\/p>\n = 43<\/sup><\/p>\n = 64 cm3<\/sup><\/p>\n Volume = l x w x h<\/p>\n Where l is the length, w is the width and h is the height of the prism<\/p>\n Example: A rectangular prism with a length of 4 cm, width of 2 cm and height of 3 cm<\/p>\n V= l x w x h<\/p>\n = 4 x 2 x 3<\/p>\n = 24 cm3<\/sup><\/p>\n Volume = area of base x h<\/p>\n Where h is the height of the cylinder<\/p>\n Since the base of a cylinder is a circle, the area of the base is equal to pi x r2<\/sup><\/p>\n Where r is the radius of the circle<\/p>\n Example: A cylinder with a height of 5 cm and a radius of 3 cm<\/p>\n V = area of base x h<\/p>\n = pi x r2<\/sup> x h<\/p>\n = 3.14 x 32<\/sup> x 5<\/p>\n = 141.3 cm3<\/sup><\/p>\n Volume = 4\/3 x pi x r3<\/sup><\/p>\n Where r is the radius of the sphere<\/p>\n Example: A sphere with a radius of 6 cm<\/p>\n V = 4\/3 x pi x r3<\/sup><\/p>\n = 4\/3 x 3.14 x 63<\/sup><\/p>\n = 904.32 cm3<\/sup><\/p>\n Volume = 1\/3 x pi x r2<\/sup> x h<\/p>\n Where r is the radius of the circle at the base and h is the height of the cone (distance from base to tip)<\/p>\n Example: A cone with a height of 6 cm and radius of 3 cm<\/p>\n V = 1\/3 x pi x r2<\/sup> x h<\/p>\n = 1\/3 x 3.14 x 32<\/sup> x 6<\/p>\n = 56.52 cm3<\/sup><\/p>\n Volume = 1\/3 x area of base x h<\/p>\n Where h is the height of the pyramid<\/p>\n Note: The shapes of the bases differ depending on the type of pyramid (ie. Square-based pyramid vs. triangle-based pyramid)<\/p>\nRectangular Prism<\/h4>\n
Cylinder<\/h4>\n
Sphere<\/h4>\n
Cone<\/h4>\n
Pyramid<\/h4>\n