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Complete Question
In the United States, a standard letter-sized piece of paper is 8.5 inches wide by 11 inches long. The international standard for a letter-sized piece of paper is different. The international standard is based on SI units: 21.0 cm wide by 29.7 cm long.
a. Convert 21.0 cm to inches. Show your dimensional analysis setup.
b. Convert 29.7 cm to inches. Show your dimensional analysis setup.
c. State the dimensions, in inches, of the international standard for a letter-sized piece of paper.
d. Which piece of paper is longer: a U.S. letter-sized piece of paper, or an international letter-sized piece of paper?
Answer:
a) 8.267721 inches ≈ 8.3 inches
b) 11.6929197 inches ≈ 11.7 inches
c) It's dimensions in inches for the international standard for letter - sized for paper = 8.3 wide inches by 11.7 inches long
d) The International standard letter - sized paper is longer.
Explanation:
a. Convert 21.0 cm to inches. Show your dimensional analysis setup.
1 cm = 0.393701inch
21 cm =
Cross Multiply
21 cm × 0.393701inch/ 1 cm
= 8.267721 inches
Approximately 8.3 inches
b. Convert 29.7 cm to inches. Show your dimensional analysis setup.
1 cm = 0.393701inch
29.7 cm =
Cross Multiply
29.7 × 0.393701 inch/ 1 cm
= 11.6929197 inches
Approximately 11.7 inches
c. State the dimensions, in inches, of the international standard for a letter-sized piece of paper.
The international standard for a letter-sized has dimensions 21.0 cm wide by 29.7 cm long.
Where
21.0cm = 8.267721 inches
≈ 8.3 inches
29.7cm = 11.6929197 inches
≈ 11.7 inches
Hence, it's dimensions in inches = 8.3 inches by 11.7 inches.
d. Which piece of paper is longer: a U.S. letter-sized piece of paper, or an international letter-sized piece of paper?
U.S letter - sized paper = 8.5 inches wide by 11 inches long
International standard letter- sized paper = 8.3 wide inches by 11.7 inches long.
Hence, the International standard letter - sized paper is longer.
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