Question

An edge of ice measures 20 inches. The ice melts until it weighs half as the original size. Find the dimensions of the new ice cube.

Answer 1

Answer on Question #61608 – Math – Geometry

Question

An edge of ice measures 20 inches. The ice melts until it weighs half as the original size. Find the dimensions of the new ice cube.

Solution

Since an edge of ice measures 20 inches then the volume of ice cube is $20 \cdot 20 \cdot 20 = 8000$ cubic inches.

The half of its original volume is 4000 cubic inches.

Let an edge of new ice cube measures $x$ inches. Then $x^3 = 4000$.

$$x = \sqrt[3]{4000} = 10\sqrt[3]{4} \approx 16 \text{ (inches)}.$$

Answer: 16 inches.

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