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7 m The side lengths of the base of a triangular prism are 7 meters, 5 meters, and 8 meters. The height of the prism is 12.5 meters. 12.5 m 6 m What is the lateral surface area of the prism in square meters? 5 m

7 M The Side Lengths Of The Base Of A Triangular Prism Are 7 Meters 5 Meters And 8 Meters The Height Of The Prism Is 125 Meters 125 M 6 M What Is The Lateral Su class=

Answer :

Given a triangular prism with side lengths of the base as a, b, and c, and height h, then the lateral surface area, A is given by

[tex]A=(a+b+c)h[/tex]

In our case,

[tex]a=5m,b=6m,c=7m,\text{ and }h=12.5m[/tex]

Hence,

[tex]A=(5+6+7)12.5=18\times12.5=225m^2[/tex]

Therefore, the lateral surface area in square meters is 225

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