Final answer:
The mass of the cadmium block is calculated by multiplying its volume with its density, resulting in a mass of 954.680505 grams, which is equivalent to 0.9546805 kilograms.
Step-by-step explanation:
To determine the mass of a block of cadmium, we first calculate its volume by multiplying its dimensions together. The volume V is given by V = length × width × height. Using the provided dimensions: V = 3.11 cm × 4.28 cm × 8.30 cm = 110.3677 cm³. The density of cadmium is given as 8.65 g/cm³. Thus, the mass m can be found using the formula m = density × volume. Plugging in the values, m = 8.65 g/cm³ × 110.3677 cm³ = 954.680505 grams.
To convert the mass to kilograms, we divide by 1000, since there are 1000 grams in a kilogram. Therefore, the mass of the cadmium block in kilograms is m = 954.680505 g ÷ 1000 = 0.9546805 kg.