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**Volume of Rectangular Prisms**

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**REVIEW - a three-dimensional figure encloses a part of space**

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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

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faces edges vertices

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**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

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**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

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**A three-dimensional figure encloses a part of space.**

cone – has curved surfaces, a circular base and one vertex

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**A three-dimensional figure encloses a part of space.**

cylinder – has curved surfaces, two circular bases and no vertices

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**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

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**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

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**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

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**Find the volume of the rectangular prism.**

V = lwh 8m V = V = 6m V = 576 m3 12m

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**Find the volume of the rectangular prism.**

V = lwh 6 ft V = 5 ft V = V = 600 ft3

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**An Olympic-sized pool is 25 m wide, 50 m long, and 3 meters deep**

An Olympic-sized pool is 25 m wide, 50 m long, and 3 meters deep. What is the pool’s volume? V = lwh V = V = V = 3750 m3

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