The surface area of a piece of paper is 81 cm2. Use the fact that 10 mm = 1 cm to convert this area to mm2. Give your answer as a number. Do not type the units in the space below.
Question
The surface area of a piece of paper is 81 cm2. Use the fact that 10 mm = 1 cm to convert this area to mm2. Give your answer as a number. Do not type the units in the space below.
Solution
To convert the area from cm^2 to mm^2, you need to know that 1 cm = 10 mm.
However, because we're dealing with area (a two-dimensional measurement), you need to square this conversion factor.
So, 1 cm^2 = (10 mm)^2 = 100 mm^2.
Therefore, to convert 81 cm^2 to mm^2, you multiply by the conversion factor of 100 mm^2/cm^2.
81 cm^2 * 100 mm^2/cm^2 = 8100 mm^2.
So, the area of the piece of paper is 8100 mm^2.
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