A toy company is considering a cube or sphere-shaped container for packaging a new product. The height of the cube would equal the diameter of the sphere . Compare the volume to surface area ratios of the containers. Which packaging will be more efficient? For a sphere, SA =4πr²

Packaging with cube will be more efficient.

Step-by-step explanation:

Given:

A cube and a sphere where the diameter of the sphere is equal to the height of the cube.

Let the height of the cube "x"

Radius of the sphere =  

Formula to be used:

Surface area of the cube = and Surface area of the sphere =

Volume of the cube = and Volume of the sphere =

We have to compare the ratio of SA and Volumes.

Ratio of SA :                                        Ratio of their volumes :

⇒                            ⇒

⇒                                           ⇒

⇒                                           ⇒

⇒                                               ⇒  

⇒                                                  ⇒

⇒ approx                                     ⇒  approx

⇒                                      ⇒

Packaging of the toy with the cube will be more efficient as it has more volume comparatively.

2? if not the correct answer you might need to provide more information

step-by-step explanation:

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.