Answer:
584.96
Step-by-step explanation:
Surface area of the shape( as a whole) = sum of all the sides visible from outside.( include base of cuboid, because it is technically seen)
Area of back and front of cuboid= 8 x 6 x 2(because back and front) = 96 cm squared
Area of sides x 2 = 144 cm squared
Area of base = 96 cm squared
Area of slope of prism x 2 = 9 x 12 = 216 cm squared
To find area of cross section in prism, use Pythagorean theorem.
C squared minus b squared = a squared
81(9sqauared) - 64 = 17
Square root of 17 is 4.12
Now,
Area of front and back of slope times 2 = 1/2 x 8 x 4.12 = 32.96
Now , add then all up 584.96
Hope this helps
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