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Find the length of the edge of the cube below, knowing that its volume is 64 cm3.

Question

Find the length of the edge of the cube below, knowing that its volume is 64 cm3.

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Solution

The volume of a cube is given by the formula V = a³, where a is the length of an edge of the cube.

Given that the volume V is 64 cm³, we can set up the equation:

64 cm³ = a³

To solve for a, we take the cube root of both sides:

a = ∛64 cm³

The cube root of 64 is 4, so:

a = 4 cm

Therefore, the length of the edge of the cube is 4 cm.

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