3.1 Three-dimensional geometry

3.1 Three-dimensional geometry Quiz

IB Maths: Analysis and Approaches HL: Quiz

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5 questions, one answer each

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  1. 1. Find the distance between (1,2,3)(1,2,3) and (3,−1,9)(3,-1,9).

    • A. 77
    • B. 29\sqrt{29}
    • C. 4949
    • D. 1111

  2. 2. Find the midpoint of (−4,6,1)(-4,6,1) and (2,0,7)(2,0,7).

    • A. (−3,3,3)(-3,3,3)
    • B. (−1,3,4)(-1,3,4)
    • C. (−2,6,8)(-2,6,8)
    • D. (3,−3,3)(3,-3,3)

  3. 3. A cone has radius 6 cm and height 8 cm. Find its curved surface area.

    • A. 48π48\pi cm2^2
    • B. 60π60\pi cm2^2
    • C. 96π96\pi cm2^2
    • D. 120π120\pi cm2^2

  4. 4. Find the volume of a hemisphere of radius 3 cm.

    • A. 36π36\pi cm3^3
    • B. 6π6\pi cm3^3
    • C. 18π18\pi cm3^3
    • D. 12π12\pi cm3^3

  5. 5. A cuboid measures 4 by 3 by 12, with the 4 by 3 face as its base. Find the angle between a space diagonal and the base, to 1 d.p.

    • A. 67.4∘67.4^\circ
    • B. 22.6∘22.6^\circ
    • C. 71.6∘71.6^\circ
    • D. 36.9∘36.9^\circ

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