Respuesta :

The volume of a prism, is the area of the cross section x the length:

In this case it is base x height x length:

6 x 4.5 x 2.5 = 67.5cm³ 
                      = 67 1/2 as a mixed number

The volume of the prism is  [tex]67\frac{1}{2}[/tex] centimeter cube

What is Prism?

A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases

What is Volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

Given,

Length l = 6cm

Width w = [tex]2\frac{1}{2}= \frac{5}{2}[/tex] cm

Height h = [tex]4\frac{1}{2}=\frac{9}{2}[/tex] cm

Volume = l × b × h

Volume = 6×[tex]\frac{5}{2}[/tex]×[tex]\frac{9}{2}[/tex] = [tex]\frac{135}{2}[/tex] = [tex]67\frac{1}{2}[/tex] centimeter cube

Hence, the volume of the prism is [tex]67\frac{1}{2}[/tex] centimeter cube

Learn more about Prism and Volume here
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