A prism is a polyhedron through two parallel, congruent faces referred to as bases that are polygon .

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The volume that a 3 -dimensional solid is the quantity of space it occupies. Volume is measure in cubic systems ( in 3 , ft 3 , centimeter 3 , m 3 , et cetera). Be sure that every one of the dimensions are in the very same unit prior to computing the volume.

The volume V the a prism is the area that the basic B times the height h .

V = B h

Note: A cubic centimeter ( centimeter 3 ) is a cube whose edges measure 1 centimeter.


Example:

discover the volume that the prism shown.

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solution The formula for the volume of a prism is V = B h , whereby B is the base area and also h is the height.

The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

The area A of a rectangle with length together and width w is A = l w .

So, the base area is 9 × 7 or 63     centimeter 2 .

The elevation of the prism is 13 cm.

instead of 63 for B and also 13 for h in V = B h .

V = ( 63 ) ( 13 )

Multiply.

V = 819

Therefore, the volume that the prism is 819 cubic centimeters.


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