Final answer:
To find the volume of a sheet of gold leaf, convert the width and length to cm, multiply these with the thickness, which gives 1.25×10³ cm³.
Step-by-step explanation:
To calculate the volume of a sheet of gold leaf that is approximately 1.25×10⁻⁵cm thick, 2 meters wide, and 5 meters long, we need to use the volume formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height or thickness. Firstly, convert the measurements from meters to centimeters, because the thickness is given in centimeters. There are 100 centimeters in a meter, therefore:
- Width: 2 meters = 200 cm
- Length: 5 meters = 500 cm
Now, we can calculate the volume of the gold sheet:
V = lwh
V = (500 cm) × (200 cm) × (1.25×10⁻⁵ cm)
V = 125000×10⁻⁵ cm³
V = 1.25×10³ cm³
The volume of the sheet of gold is 1.25×10³ cm³.