To find the volume of the solid cubical block, we divide the cost by the price per cubic meter: ( \text{Volume} = \frac{256}{500} = 0.512 , \text{m}^3 ). Since the block is a cube, the volume ( V ) is given by ( V = a^3 ), where ( a ) is the length of each side. Thus, ( a = \sqrt[3]{0.512} \approx 0.8 , \text{m} ). Therefore, the volume is 0.512 m³ and the length of each side is approximately 0.8 m.
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