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Answer:

1) 64 yd²    2) 3801.3 mm³    3)  56.55 ft³

Step-by-step explanation:

Surface area of rectangular prism: Area =2(wl+hl+hw)

                                                                  = 2(4*2+4*2+4*4)

                                                                   = 64 yd²

Volume of cylinder = πr²h

                                = π*11²*10

                                = 1210π or 3801.3 mm³

Volume of cone = [tex]\frac{1}{3} \pi r^{2}h[/tex]

                           = 1/3 *π*3²*6

                           = 18π or 56.55 ft³

Answer:

Below!

Step-by-step explanation:

We know that:

  • Volume of cylinder: πr²h
  • Volume of cone: 1/3πr²h

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Solution (Surface area of rectangular prism):

  • 2(2 x 4) + 2(4 x 4) + 2(2 x 4)
  • => 2(8) + 2(16) + 2(8)
  • => 16 + 32 + 16
  • => 64 yd²

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Solution (Volume of cylinder):

  • πr²h
  • => 22/7 x 11² x 10
  • => 22/7 x 121 x 10
  • => 22/7 x 1210
  • => 26620/7 mm³

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Solution (Volume of cone):

  • 1/3πr²h
  • => 1/3 x 22/7 x r² x h
  • => 1/3 x 22/7 x 3² x 6
  • => 22/7 x 3 x 6
  • => 22/7 x 18
  • => 396/7 ft³

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