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21 November, 07:29

Find the volume of a cube that will hold sixty-four 4.19 in3 toy bouncy balls. (round to nearest whole number)

A) 268 in3

B) 512 in3

C) 576 in3

D) 603 in3

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Answers (1)
  1. 21 November, 10:23
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    Volume of the toy bouncy ball:

    V = 4/3 r³ π

    4.19 = 4/3 r³ · 3.14

    r³ = (4.19 · 3) : (4 · 3.14) = 1

    r = ∛1 = 1 in

    Volume of the cube: V = a³

    There are 64 toy balls. It means that there are 4 x 4 x 4 in the cube.

    a = 4 · 2 r = 8 in

    V = 8³ = 8 · 8 · 8 = 512 in³

    Answer: B) 512 in³
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