Final answer:
The volume of a standard 8.50 in. by 11.0 in. sheet of paper with a thickness of 0.0970 mm is calculated by converting the thickness to inches and then multiplying the length, width, and height, yielding approximately 0.36 cubic inches.
Step-by-step explanation:
The volume of a standard piece of paper, given its thickness and surface area, can be calculated by multiplying its length, width, and height (thickness). Since the paper's dimensions are provided in inches for length and width, and millimeters for thickness, the thickness needs to be converted to inches before performing the multiplication.
To convert the thickness from millimeters to inches, we use the conversion factor 1 inch = 25.4 millimeters. So, the thickness of the paper in inches is 0.0970 mm × (1 inch / 25.4 mm) = 0.003819 inches.
Next, we can find the volume of the paper by multiplying its dimensions:
Volume = Length × Width × Height (thickness) = 8.50 in. × 11.0 in. × 0.003819 in. = 0.35766 cubic inches.
For practical purposes, you might round the volume to two decimal places, resulting in a volume of approximately 0.36 cubic inches.