Question

A quart container of ice cream is to be made in the form of a cube. What should be the length of a side, in centimeters? (use conversion 1 gallon= 3.786 liters)

Answer 1

Answer on Question #45257 – Physics – Molecular Physics | Thermodynamics

Question.

A quart container of ice cream is to be made in the form of a cube. What should be the length of a side, in centimeters? (use conversion 1 gallon = 3.786 liters)

$$V = 1 \text{ quart} = 0.25 \text{ gallon} = 0.9465 \text{ l} = 0.9465 \cdot 10^{-3} \text{ m}^3 = 946.5 \text{ cm}^3$$ $$L = ?$$

Solution.

We know the following:

$$1 \text{ quart} = 0.25 \text{ gallon}$$ $$1 \text{ gallon} = 3.786 \text{ liters}$$ $$1 \text{ liter} = 10^{-3} \text{ m}^3 = 10^3 \text{ cm}^3$$

Therefore,

$$1 \text{ quart} = 946.5 \text{ cm}^3$$

Also we know the volume of a cube:

$$V = L^3$$

So,

$$L = \sqrt[3]{V}$$

Calculate:

$$L = \sqrt[3]{946.5} = 9.818 \text{ cm}$$

Answer.

$$L = \sqrt[3]{V} = 9.818 \text{ cm}$$

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