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Suppose rectangle ABCD with A(0, 0), B(0, 8), C(5, 8), D(5, 0) is rotated about side AB¯¯¯¯¯¯¯¯ . Identify the three-dimensional object formed.

(1 point)
Responses

a cylinder with a height of 10 and diameter of 8 units
a cylinder with a height of 10 and diameter of 8 units

a rectangle with a height of 8 and length of 10 units
a rectangle with a height of 8 and length of 10 units

a cylinder with a height of 8 and diameter of 10 units
a cylinder with a height of 8 and diameter of 10 units

a cylinder with a height of 8 and diameter of 5 units

1 answer

When rectangle ABCD is rotated about side AB, the line segment AB remains fixed while the points C and D sweep out a circle as they rotate.

  • The height of the cylinder formed corresponds to the length of side AB, which is 8 units.
  • The diameter of the cylinder corresponds to the length of side AD, which is 5 units.

Thus, the three-dimensional object formed is:

a cylinder with a height of 8 and diameter of 5 units.