9514 1404 393
Answer:
876 square inches
Step-by-step explanation:
The total surface area is the sum of the areas of the two triangular bases, and the lateral area--the sum of the areas of the three rectangular faces.
Total triangle area:
2(1/2)(bh) = bh = (26 in)(6 in) = 156 in²
Rectangular face area is the product of the length of the prism (12 in) and the perimeter of the base:
(12 in)(26 in + 24 in + 10 in) = (12 in)(60 in) = 720 in²
Total area is then ...
base area + lateral area = 156 in² +720 in² = 876 in²
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Comment on the question
The geometry shown is impossible. The base width must be about 31.24 inches for the other dimensions to be accurate.
