VOLUME OF A SOLID. WHAT IS A PRISM A prism is a 3-dimensional figure that has a pair of congruent bases and rectangular faces.

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Presentation transcript:

VOLUME OF A SOLID

WHAT IS A PRISM A prism is a 3-dimensional figure that has a pair of congruent bases and rectangular faces.

VOLUME OF A PRISM V = Bh Where B is the area of the base and h is the height of the prism The bases of a prism must be congruent and parallel and the height of the prism is the vertical distance between the bases.

VOLUME OF A PRISM Example 1: Find the volume of the prism. A = Bh B = lw 7 x 14 = 98 sq. cm A = Bh 98 x 6 = 588 cubic cm (Note that all of the rectangles have a congruent parallel side so any of them could be the base. The 3 rd dimension would then be the height.)

VOLUME OF A PRISM Example 2: Find the volume of the Prism: A = Bh B = ½ bh = ½ (10)(8) = 40 sq. ft A = Bh (40)(25) = 1000 cubic feet

VOLUME OF A CYLINDER V = Bh The base of a cylinder is always a circle.

VOLUME OF A CYLINDER

VOLUME OF A PYRAMID

VOLUME OF A CONE

VOLUME OF A SPHERE

PRACTICE WS

VOLUME OF A SPHERE