Final answer:
To calculate the density of the block, we first determined its volume by multiplying the width (2 cm), height (3 cm), and length (25 cm), obtaining 150 cm³. Then, we divided the mass of 600 g by this volume to get the density, which is 4 g/cm³.
Step-by-step explanation:
Calculating the Density of the Block
The question at hand involves finding the density of a rectangular block given its dimensions and mass. First, we have to determine the volume of the block by multiplying its width, height, and length. The formula for volume (V) of a rectangular block is V = width × height × length. In this case, the width (w) is 2 cm, the height (h) is 3 cm, and the length (l) is 25 cm. Therefore, the volume is calculated as follows:
V = w × h × l = 2 cm × 3 cm × 25 cm = 150 cm³.
Once we have the volume, we can calculate the density (D) using the mass (m) that is 600 g. The formula for density is D = m/V. So, we divide the mass of the block by its volume to find the density:
D = m/V = 600 g / 150 cm³ = 4 g/cm³.
Therefore, the density of the block is 4 g/cm³.