Height of a prism-shaped part of a machine is 8 cm and its base is an isosceles triangle, whose each of the equal sides is 5 cm and remaining side is 6 cm. The volume of the part is

Solution (By Examveda Team)

Volume of the part (prism) = Area of base × height
Area of base (Isosceles Δ)
$$\eqalign{ & = \frac{b}{4}\sqrt {4{a^2} - {b^2}} \cr & = \frac{6}{4}\sqrt {4{{\left( 5 \right)}^2} - {{\left( 6 \right)}^2}} \cr & = 12{\text{ c}}{{\text{m}}^2} \cr} $$
Volume of prism = 12 × 8 = 96 cm³