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

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The volume that a 3 -dimensional solid is the amount of an are it occupies. Volume is measured in cubic units ( in 3 , ft 3 , centimeter 3 , m 3 , et cetera). Be sure that every one of the measurements are in the exact same unit prior to computing the volume.

The volume V the a prism is the area the the base B times the elevation h .

V = B h

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


Example:

discover the volume that the prism shown.

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systems The formula because that the volume of a prism is V = B h , whereby B is the basic area and h is the height.

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

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

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

The elevation of the prism is 13 cm.

instead of 63 for B and 13 for 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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