Question

What is the surface area of the triangular prism shown?

Answer 1

The surface area will be equal to option B which is 1008 square centimeters.

What is surface area?

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  $=\sqrt{(s(s-a)(s-b)(s-c)$

                                     = $\sqrt{(18(18-15)(18-12)(18-9)}$

                                     = √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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