Question

the
height of a
triangle prism is 10cm
The sides of the base are 3cm,
4cm, 5cm. Then the T.S.A is​

Answer 1

Answer:

60 cu.cm

Step-by-step explanation:

Given, sides of prism are 3 cm, 4 cm and 5 cm and height =10 cm

Let s be the semi-perimeter of the triangular base of the prism.  

Then S=  

2

3+4+5

​  

=6 cm  

Therefore, the area of the prism =  

s(s−a)(s−b)(s−c)

​  

 

=  

6(6−3)(6−4)(6−5)

​  

 

=  

6×3×2×1

​  

 

=  

36

​  

=6 sq. cm.  

Then volume of the prism =area of base×height

= 6×10

= 60 cu.cm