A prism is a polyhedron through two parallel, congruent faces dubbed bases that are polygons .

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The volume of a 3 -dimensional heavy is the amount of space it occupies. Volume is measured in cubic units ( in 3 , ft 3 , cm 3 , m 3 , et cetera). Be sure that every one of the dimensions are in the same unit before computing the volume.

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

V = B h

Note: A cubic centimeter ( cm 3 ) is a cube who edges measure up 1 centimeter.


Example:

discover the volume the the prism shown.

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

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

The area A that a rectangle with size l and also width w is A = l w .

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

The elevation of the prism is 13 cm.

substitute 63 because that B and 13 because that h in V = B h .

V = ( 63 ) ( 13 )

Multiply.

V = 819

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


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