The volume of a prism is the product of the area of one end (uniform cross section) and the length of the prism.
Ex: 1) what is the volume of a prism whose base is an equilateral triangle of sides 2cm and height 2.2cm given that the length of the prism is 20cm
Solution:
Volume = base area * length
Base area = ½ * b * h = ½ * 2 * 2.2 = 2.2cm2
Length = 20cm
Volume of prism = 2.2 * 20 = 44cm3
2) What is the volume of a rectangular box whose dimensions are 3m by 2m by 1m
Solution:
Length = 3m, Width = 2m, height = 1m
Volume = base area * height = (l * w) * h = (3 * 2) * 1 = 6m3