Volume of Prisms and Cylinders
Volume = (Area of base)(Height)
• The volume of a 3-dimensional figure is the measure of space it occupies.
• It is measured by cubic units.Ex: centimeters cubed (cm³)
Rectangular Prism
V = (Area of base)(h)V = (Lw)(h)
5 cm4 cm
3 cm
Example 1: Find the volume of the rectangular prism shown above.
V = l(w)(h)
V = 5(4)(3)
V = 60 cm³
Triangular Prism
V = (Area of base)(height) V = (½bh)(height)
Example 2: Find the volume of the triangular prism shown above.
V = (½bh)(height)
V = ½(3)(4)(2)
V = 12 in³
CylinderV = (Area of base)(h)V = (r2)(h)
Example 3: Find the volume of the cylinder shown above. Round your answer to the nearest hundredth.
V = (r2)(h)V = (82)(12)V = 768 V ≈ 2412.74 in3
Top Related