The base of a right prism is an equilateral triangle with side 10 cm. The height of the prism is 12 cm. Find the volume of the prism.

Explanation

Given: ​ Base: Equilateral Triangle, side a = 10 cm. Height h = 12 cm. Formula Used: Volume of prism = Base Area × Height 3 2 Area of Eq. Triangle = ​ a 4 ​ Solution: 3 3 Base Area = (10)2 = × 100 = 25 3 cm2 ​ ​ 4 4 ​ ​ ​ Volume = 25 3 × 12 ​ Volume = 300 3 cm3 ​ Final Answer 300 3 cm3​