 # Volume of Prisms & Cylinders Look at the three shapes I have and tell me what they have in common when one is trying to calculate the volume of these figures.

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Volume of Prisms & Cylinders Look at the three shapes I have and tell me what they have in common when one is trying to calculate the volume of these figures.

ANSWER(S) ► All figures have a base which the area must be calculated and multiplied by the height of the shape so to find the volume…… V = Bh

Common Core #24 ► Find the Volume of Prisms and Cylinders ► (1) Rectangular Prisms ► (2) Triangular Prisms ► (3) Cylinders

Find the Volume of the Rectangular Prism 5in 3in 10in V = Bh or V= lwh = (3in 5in)(10in) = (15in 2 )(10in) = 150in 3 Area of Base B = lw

Find the volume of a Triangular Prism 20m 29m 40m V = Bh V = ½lw h = ½(20m)(21m) (40m) = 210m 2 40m = 8400m 3 Height of the base: 21m Triangle

Find the Volume of a Triangular Prism 8in 10in V = Bh = ½lw h = ½(8in)(7in) (10in) ≈ (28in 2 ) (10in) ≈ 280in 3 7in

Volume of a Cylinder r h V = Bh Volume of right cylinder Height of cylinder Area of base: (Circle) A =  r 2

Volume of a Cylinder ► V = Bh ► V =  r 2 h ► = (3.14)(5cm) 2 (13cm) ► V = 1020.5cm 3 or ► V = 325  cm 3 5cm 13cm

Find the area of the following cylinder. 16ft 9ft V = Bh =  r 2 h = (3.14)(8ft) 2 (9ft) = 1808.64ft 3 Area of a Circle