Final answer:
To calculate the mass of the gold block, multiply its volume (3000 cm³) by the density of gold (19.3 g/cm³) to get 57900 g. After converting to kilograms, the mass is 57.9 kg.
Step-by-step explanation:
The question asks us to calculate the mass of a block of gold with the dimensions 20 cm x 15 cm x 10 cm. To find the mass, we first need to calculate the volume of the block. The volume (V) is found by multiplying the length (l), width (w), and height (h) of the block:
V = l x w x h
V = 20 cm x 15 cm x 10 cm
V = 3000 cm³
Next, we use the density (d) of gold to find the mass. The density of gold is 19.3 g/cm³. The mass (m) is calculated using the formula:
m = d x V
m = 19.3 g/cm³ x 3000 cm³
m = 57900 g
To convert grams to kilograms, we divide by 1000:
m = 57900 g / 1000
m = 57.9 kg