Final answer:
The density of the metal cube is 5.83 g/cm³.
Step-by-step explanation:
The density of a substance is calculated by dividing its mass by its volume. In this case, the mass of the cubic block of metal is given as 2,463 g and the length is given as 7.5 cm. To find the volume of the block, we need to multiply the length by the width and height. However, since it is a cube, all sides have the same length. Therefore, the volume would be 7.5 cm multiplied by 7.5 cm multiplied by 7.5 cm. Thus, the volume is 421.875 cm³. To find the density, we divide the mass by the volume: 2463 g ÷ 421.875 cm³ = 5.83 g/cm³.