Answer:
Mass of gold bar = 13.896 kg
Step-by-step explanation:
Volume of gold bar = Area of trapezium x Length of bar
Length of bar = 16 cm
Area of trapezium = 2 x Area of triangle + Area of rectangle
Area of triangle = 0.5 x 5 x 3 = 7.5 cm²
2 x Area of triangle = 2 x 7.5 = 15 cm²
Area of rectangle = 6 x 5 = 30 cm²
Area of trapezium = 15 + 30 = 45 cm²
Volume of gold bar = 45 x 16 = 720 cm³
Density of gold = 19.3 g/cm³
Mass of gold bar = 720 x 19.3 = 13896 g = 13.896 kg
Mass of gold bar = 13.896 kg