3.1 Three-dimensional geometry

3.1 Three-dimensional geometry Quiz

IB Maths: Applications and Interpretation HL: Quiz

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  1. 1. Find the distance between (1,2,3)(1,2,3) and (4,6,15)(4,6,15).

    • A. 1919
    • B. 1313
    • C. 169169
    • D. 55

  2. 2. Find the midpoint of (2,−4,6)(2,-4,6) and (8,0,−2)(8,0,-2).

    • A. (10,−4,4)(10,-4,4)
    • B. (6,4,−8)(6,4,-8)
    • C. (3,2,−4)(3,2,-4)
    • D. (5,−2,2)(5,-2,2)

  3. 3. Find the volume of a sphere of radius 3 cm.

    • A. 36π36\pi cm3^3
    • B. 12π12\pi cm3^3
    • C. 108π108\pi cm3^3
    • D. 27π27\pi cm3^3

  4. 4. A right pyramid has a square base of side 10 cm and height 6 cm. Find its volume.

    • A. 600600 cm3^3
    • B. 300300 cm3^3
    • C. 200200 cm3^3
    • D. 100100 cm3^3

  5. 5. A cuboid has a base 6 cm by 8 cm and height 5 cm. Find the angle between its space diagonal and the base.

    • A. 63.4∘63.4^\circ
    • B. 26.6∘26.6^\circ
    • C. 39.8∘39.8^\circ
    • D. 30.0∘30.0^\circ

Quiz