The density of the lead block with dimensions of 2.50 cm by 4.20 cm by 5.00 cm and a mass of 2587 g is calculated to be approximately 49.28 g/cm³ when rounded to two decimal places.
To calculate the density of lead, we first need to determine the volume of the block. The volume is found by multiplying the length, width, and height dimensions of the block: Volume = length × width × height.
For a block of lead with dimensions of 2.50 cm by 4.20 cm by 5.00 cm, the volume calculation is as follows:
Volume = 2.50 cm × 4.20 cm × 5.00 cm = 52.5 cm3
Next, we use the mass of the block to find the density with the formula Density = mass/volume. Given the mass is 2587 g, the density can be calculated as:
Density = 2587 g / 52.5 cm3 = 49.276 g/cm3
Therefore, the density of lead for the given block is 49.276 g/cm3, which can be rounded to 49.28 g/cm3 when expressing the answer to two decimal places.