Final answer:
To find the volume of the gold sheet, we can use the formula V = lwh. Given the length and width of the sheet along with its thickness, we can calculate the volume. Converting the units, the volume of the sheet of gold is 1.25 x 10⁴ cm³.
Step-by-step explanation:
To find the volume of the sheet of gold, we can use the formula V = lwh, where V represents volume, l represents length, w represents width, and h represents height or thickness. In this case, the length is 5 meters, the width is 2 meters, and the thickness is 1.25 x 10⁻⁵ cm. So, the volume can be calculated as:
V = (5 meters) x (2 meters) x (1.25 x 10⁻⁵ cm)
Converting the thickness to meters, we have:
V = (5 meters) x (2 meters) x (1.25 x 10⁻⁵ meters)
V = 1.25 x 10⁻⁴ cubic meters
Since we need the volume in cm³, we can convert it by multiplying by (1 cm / 0.01 meters)³:
V = (1.25 x 10⁻⁴ cubic meters) x (1 cm / 0.01 meters)³ = 1.25 x 10⁴ cm³
Therefore, the volume of the gold sheet is 1.25 x 10⁴ cm³.