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## Volume of Rectangular Prisms

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**Three-Dimensional Figures**• faces – the flat surfaces • edges – the segments formed by intersecting faces • vertices – the points formed by intersecting edges**faces**edges vertices**A three-dimensional figure encloses a part of space.**• prism – has two parallel and congruent bases in the shape of polygons; the shape of the bases tells the name of the prism**A three-dimensional figure encloses a part of space.**• pyramid – has a polygon for a base and triangles for sides; the shape of the base tells the name of the pyramid**A three-dimensional figure encloses a part of space.**• cone – has curved surfaces, a circular base and one vertex**A three-dimensional figure encloses a part of space.**• cylinder – has curved surfaces, two circular bases and no vertices**A three-dimensional figure encloses a part of space.**• sphere – has no faces, bases, edges, or vertices; all the points are the same distance from a given point called the center**volume – the amount of space inside a three-dimensional**figure The volume (V) of a rectangular prism equals the product of its length (l), its width (w), and its height (h). V = lwh h w l**volume – the amount of space inside a three-dimensional**figure The volume (V) of a cube equals the product of three of its sides (s). V = s3 s s s**Find the volume of the rectangular prism.**V = lwh V = 12 . 6 . 8 8m V = 72 . 8 6m V = 576 m3 12m**Find the volume of the rectangular prism.**20 ft V = lwh V = 20 . 5 . 6 6 ft 5 ft V = 100 . 6 V = 600 ft3**An Olympic-sized pool is 25 m wide, 50 m long, and 3 meters**deep. What is the pool’s volume? V = lwh V = 50 . 25 . 3 V = 1250 . 3 V = 3750 m3