Given:
The height of the triangular prism is 15 cm.
The side lengths of the base are 3 cm, 4 cm and 5 cm.
To find:
The lateral surface area of the prism.
Solution:
The lateral surface area of the prism is:
[tex]LSA=Ph[/tex]
Where, P is the perimeter of base and h is the height of the prism.
We know that the perimeter of base is the sum of all sides of the base.
The perimeter of the prism is (3+4+5) cm and the height of the prism is 15 cm.
So, the lateral surface area of the prism is:
[tex]LSA=(3+4+5)\times 15[/tex]
[tex]LSA=(12)\times 15[/tex]
[tex]LSA=180[/tex]
Therefore, the lateral surface area of the prism is 180 square cm.
