Answer:
B. 380 square centimeters
Step-by-step explanation:
A triangular prism has triangular bases. The lateral surface area is the total area of the three rectangular faces that are not the bases.
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formula
The lateral surface area can be found by multiplying the perimeter of the base by the height of the prism (the distance between bases).
perimeter
The perimeter is the sum of the lengths of the edges of the base:
P = 8 cm + 6 cm + 5 cm = 19 cm
area
The distance between the bases is 20 cm, so the lateral surface area is ...
LA = Ph = (19 cm)(20 cm) = 380 cm²
The lateral surface area is 380 square centimeters.
