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