The lateral surface area of the triangular prism is 480 square cm,
option (B) is correct.
It is given that the triangular prism has a 10 cm height and its sides are 16 cm, 12 cm, and 20 cm respectively.
It is required to find the lateral surface area.
What is the lateral surface area?
It is defined as the surface area of an object excluding its top and base areas, it is different from the total area.
We know that,
The lateral surface area of triangular prism = perimeter of the
base×height
= (a + b + c ) × h
We have, a = 16, b = 20 cm, c = 12 cm, and h =10 cm.
Putting these values in the above formula, we get:
[tex]\rm = (16+20+12) \times10\\\\\rm = 48\times 10\\\\\rm = 480 \ cm^2[/tex]
Thus, the lateral surface area of the triangular prism is 480 square cm,
option (B) is correct.
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