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we are asked in this problem the surface area of the prism given the dimensions: 9mm by 12mm by 8mm. Surface area is the sum of the areas of each face of the prism. The formula for surface area is 2*lw+2*lh+ 2*wh. In this case, upon substitution, SA = 2*9*12+2*9*8+2*12*8 equal to a total of 552 mm2. 

Answer:

Step-by-step explanation:

Length , l = 9 mm

Width , w = 12 mm

height , h = 8 mm

Surface area of a prism is given by

S =2 ( lw + wh + hl )

By plugging all the given values we get

S = 2 (9·12+12·8+8·9)

S= 2 ( 108 + 96 + 72 )

S =2 (276)

S = 552 mm^2

So the surface area of the prism is 552 mm^2

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