Question

Marcus is making spherical soaps to sell in his online store. The surface area of a soap is 63.585 in.2
and he wants to package them into a cube box so that it fits snugly. Using 3.14 as the value of pi, what should be the dimensions of the cube box?

Answer 1

Surface area = 4πr^2 = 63.585. With π = 3.14:

r^2 = 63.585 / (4·3.14) = 63.585 / 12.56 = 5.0625, so r = √5.0625 = 2.25 in.

Diameter = 2r = 4.5 in, so the cube must be 4.5 in × 4.5 in × 4.5 in.