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
