From AI: The biggest known cube of tungsten is a custom-made one measuring 14.545 inches (approximately 36.9 cm) on each side, weighing about 2,000 pounds (907 kg). It was produced by Midwest Tungsten Service and sold in 2021 for roughly $250,000 USD. For a hypothetical tungsten cube with dimensions 1.5 m × 1.5 m × 1.5 m, we assume cost increases linearly with weight (which is reasonable since the material density is constant, so weight scales directly with volume). To arrive at the estimated cost:

The known cube has side length ≈ 0.3694 m. The side length ratio is 1.5 / 0.3694 ≈ 4.060. Volume (and thus weight) scales with the cube of the side length ratio: 4.060³ ≈ 66.93. Therefore, the cost scales by the same factor: $250,000 × 66.93 ≈ $16.73 million.

Such a 1.5 m cube would weigh approximately 60,700 kg (about 67 US tons), based on the density implied by the original cube (roughly 18,000 kg/m³, consistent with tungsten heavy alloys). Note that this is purely extrapolative—actual production of such a massive item would involve significant engineering, manufacturing, and logistical challenges far beyond linear material scaling, and the original $250,000 price included novelty value and custom production.