Question

Find the volume of each figure :
3 cm
4 cm
10 cm
4.
8 cm
10 cm
5 cm​

Answer 1

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= 23+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