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9 July, 08:46

Randy makes two slices through a three-dimensional object. One plane is parallel to the base; the other plane is perpendicular to the base. The two cross-sections are the same size and shape. What three-dimensional shapes might Randy have cut?

A: come

B: sphere

C:cylinder

D:cube

(Btw this is a apex geometry question)

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Answers (1)
  1. 9 July, 10:42
    0
    Just imagine it

    consider each

    A. cone

    if you cut a cone paralell to it's base, you get a circle

    if you cut it perpendicular, you get a triangle

    triangle≠circle so not this one

    B. sphere

    if you cut a sphere paralell to it's base, you get a circle

    if you cut it perpendicular, you get a circle

    circle=circle so this works

    C. cylinder

    if you cut a cylinder paralell to it's base, you get a circle

    if you cut it perpendicular, you get a rectangle

    rectanlge≠circle so not work

    D. cube

    if you cut a cube paralell to it's base, you get a square

    if you cut it perpendicular, you get a square

    square=square so this works

    answers are B and D
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