Question

A spherical bar of soap just fits inside its package, which is a cube with a side length of

Answer 1

Answer:

Step-by-step explanation:

1) Diameter of the bar of soap = length of the side of the cube = 10 cm

radius = r = 10/2 = 5 cm

Volume of bar of soap = $\frac{4}{3}*\pi *r^{3}$

                                     $= \frac{4}{3}*3.14*5*5*5\\\\= 523.81 cm^{3}$

2) Volume of cube package = a³ = 10 * 10 * 10 = 1000 cm³

Amount of empty space = Volume of cube -volume of bar soap

                                        = 1000 - 523.81

                                         = 476.19

                                          = 476.2 cm³