Final answer:
To calculate the mass of the rectangular block of lead, the volume (27000 cm³) is multiplied by the density of lead (11.34 g/cm³), resulting in a mass of 306180 g or 306.18 kg.
Step-by-step explanation:
The question asks us to calculate the mass of a rectangular block of lead based on its dimensions and given density. To find the mass, we will use the formula mass = density × volume. The first step is to calculate the volume of the lead block by multiplying its length, width, and height. The volume in cubic centimeters (cm³) is 20.0 cm × 30.0 cm × 45.0 cm = 27000 cm³. Next, using the given density of lead, which is 11.34 g/cm³, we compute the mass as follows: mass = (11.34 g/cm³) × (27000 cm³). Thus, the mass of the block is 306180 g or 306.18 kg, since 1 g = 0.001 kg.