The surface area will be equal to option B which is 1008 square centimeters.
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The surface area of the prism will be calculated as:-
SA = area of the three rectangular faces + area of the triangular faces
Area of the rectangular faces = ( 15 X 25 ) + ( 25 X 12 ) + ( 25 X 9 )
= 375 + 300 + 225
= 900 square cm
Area of the triangular [tex]=\sqrt{(s(s-a)(s-b)(s-c)[/tex]
= [tex]\sqrt{(18(18-15)(18-12)(18-9)}[/tex]
= √2916
= 64
Total area of the rectangular face = 2 x 54 = 108
So the total SA area of the prism will be = 900 + 108= 1008 square cm.
Therefore surface area will be equal to option B which is 1008 square centimeters.
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