Question

A rectangular block of metal is 0.24 m long, 0.19 m wide and 0.15 m high. If the metal block is melted to form a cube, find the length of each side of the cube.

Answer 1

Answer: approximately 0.19 meters long

The more accurate value is 0.18982439916059 but this value isn't exact

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Step-by-step explanation:

The volume of this rectangular block is 0.24*0.19*0.15 = 0.00684 cubic meters.

If we had a cube of this volume, then it has some side length x such that x^3 = 0.00684

Apply the cube root to both sides. This is the same as raising both sides to the 1/3 power

`x^3 = 0.00684\\\\x = \sqrt[3]{0.00684}\\\\x = (0.00684)^(1/3)\\\\x \approx 0.18982439916059\\\\x \approx 0.19\\\\`

The side length of the cube is approximately 0.19 meters long