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Volume of Prisms and Cylinders

Volume of Prisms and Cylinders. The volume of a 3-dimensional figure is the measure of space it occupies. It is measured by cubic units. Ex : centimeters cubed (cm³). Volume = (Area of base)(Height). Rectangular Prism. V = (Area of base)(h) V = ( Lw )(h). 3 cm.

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Volume of Prisms and Cylinders

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  1. Volume of Prisms and Cylinders • The volume of a 3-dimensional figure is the measure of space it occupies. • It is measured by cubic units. • Ex: centimeters cubed (cm³) Volume = (Area of base)(Height)

  2. Rectangular Prism V = (Area of base)(h) V = (Lw)(h) 3 cm Example 1: Find the volume of the rectangular prism shown above. 4 cm V = l(w)(h) V = 5(4)(3) V = 60 cm³ 5 cm

  3. 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

  4. Cylinder V = (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

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