# Volumes of Prisms and Cylinders

APPLICATION FOR VOLUME OF PRISMS AND CYLINDERS Rank the shapes from least to greatest In terms of volume. ANSWERS 1.C = 785 cm

2.B = 500 cm 3.A = 420 cm APPLICATION #1 If Rufus has a rectangular box that holds a volume of 480 ft. What are the dimensions of the box? Answers

can vary but any three numbers that MULTIPLY to give you 480 ft such as 10 x 2 x 24 APPLICATION #2 Find the Volume!!!!!!!!!!!!!!!!!!!!! Half of a cylinder: V = Bh = r2h = (3.14)(6in)2 (8in)

= 452.16in3 11in 8in Volume of Prism: 12in V = Half Cylinder + Prism V = Bh

= 452.16in3 + 1056in3 = (11)(12)(8) = 1508.16in3 = lwh 3

APPLICATION #3 Find the Volume!!!!!!!!!!!!!!!!!! Answer is about 2865 ft APPLICATION #4 Find the Volume!!!!!!!!!!!!!!!!!! Rectangular Prism + Triangular Prism Answer is 240 cm + 80 cm = 320 cm

APPLICATION #5 Find the volume of the green region. Answer is about 17,242 cm

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