Question

The base of a prism forms a right angled triangle. The triangle has base and height as 4 cm and 6 cm respectively. The height of the prism is 10 cm. The volume of the prism will be :

• A. $180c{m}^3$
• B. $240c{m}^3$
• C. $60c{m}^3$
• D. $120c{m}^3$

Answer 1

The correct option is D

$120c{m}^3$

The base of the prism is a right-angled triangle.

Area of the base of the prism $=\frac{1}{2}\times \text{Base}\times \text{Height of the triangle}$$=\frac{1}{2}\times 4\times 6=12c{m}^2$

Volume of prism = $\text{Base Area}\times \text{Height}$

Volume $=12c{m}^2\times 10cm=120c{m}^3$