Question

2. When shipping ice cream, melting is understandably a big concern. You will notice that ice cream is not generally packaged in a cube-shaped container. A standard container of ice cream contains 1 L, or 1000 cm3 of ice cream, a) What would be the optimal dimensions (radius and height) to minimize surface area? B) What would the surface area be? C) Suggest at least two reasons why this is different from the ice cream packaging that you see in the stores.

Answer 1

a) 10:10:10

b)
`A_s=600m^2`

Explanation:

From the question we are told that:

Volume
`V=1000cm^3`

a) .

Generally for optimal dimensions

`A=L*B*H`

Where

`L=B=H`

Therefore

`L=^3√(1000)\\L=10`

Therefore the optimal dimensions will be

10:10:10

b)

Generally the equation for surface area of a cube is mathematically given by

`A_s=6l^2`

`A_s=6*10^2`

`A_s=600m^2`