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

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