A sugar cube has a volume of 0.216 cubic inches. What is the length of each edge?

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A sugar cube has a volume of 0.216 cubic inches. What is the length of each edge?

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Answer 1 · 2015-11-15T15:23:21

Each edge measures approximately $0.465$ $0.465$ inches.

Explanation:

Since it's a cube, its volume $V$ $V$ can be expressed as a function of the edge $l$ $l$ follows: $V = l^{3}$ $V=l^3$ .

Now we want to find $l$ $l$ such that $l^{3} = V = 0.216$ $l^3=V=0.216$ cubic inches. This means that $l = \sqrt[3]{V} = \sqrt[3]{0.216} \approx 0.465$ $l=root(3)V=root(3)0.216 approx 0.465$ inches.

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A sugar cube has a volume of 0.216 cubic inches. What is the length of each edge?

1 Answer

Explanation:

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