Question

the height of a triangular prism is 10m . the sides of the base are 3cm,4cm,5cm. then T. S. A is​

Answer 1

Step-by-step explanation:

Given:

Height of triangular prism = 10 cm

Sides of base = 3, 4, 5 cm

To find:

Total surface area of prism = ?

Solution:

First of all, let us have a look at the formula for Total Surface Area of triangular prism:

Where B is the area of base

p is the perimeter of base and

h is the height of prism.

here base is a right angled triangle (because 3, 4, 5 is a triplet) Base and Height will be 3 , 4 cm or 4, 3 cm and 5 will be hypotenuse.  

So formula for B:

So, TSA = 6 + (3+4+5)  10 = 6 + 120 = 126  

So, total surface area of given prism is 126.

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