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What is the lateral area and the surface area of the right prism?

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asked Jul 27, 2013 in GEOMETRY by harvy0496 Apprentice

1 Answer

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Given that length( l ) = 7ft, breadth( b ) = 5ft , and hieght( h ) = 3ft

Lateral area of a prism(L .A) = (perimeter of the base) * (hieght)

The base is in the form of rectangle

L..A = (perimeter of rectangle) * (hieght)

        = 2(l + b) * h

        = 2(7 + 5) * 3  

        = 2(12) * 3

         = 72 sq.ft

Surface area (S.A) = 2(lb) + 2(bh) + 2(hl)

                               = 2(7) (5) + 2(5) (3) + 2(3) (7)

                               = 70 + 30 + 42

                               = 142 sq.ft

Therefore the lateral area is 72sq.ft and surface area is 142sq.ft of a right prism

answered Jul 27, 2013 by jouis Apprentice

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