Mike chose

Mike chose 4 identical cubes, 3 identical prisms and 2 identical cylinders from the kit. The edge of the cube is 3 cm long. The prism has two dimensions the same as the cube, its third dimension is 2 times longer. The diameter of the base of the cylinder is 3 cm and the cylinder is as high as the cube.

What is the total volume of these bodies?

Correct answer:

V =  312.4115 cm3

Step-by-step explanation:

a=3 cm V1=a3=33=27 cm3 V2=a a (2 a)=3 3 (2 3)=54 cm3  D=3 cm  r=D/2=3/2=23=1.5 cm V3=π r2 a=3.1416 1.52 321.2058 cm3  V=4 V1+3 V2+2 V3=4 27+3 54+2 21.2058=312.4115 cm3

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