Spacing in this book was generally done in units of points and picas: 12 points = 1 pica and 6 picas = 1 inch. If a figure was misplaced in the page proofs by 0.80 cm, what was the misplacement in
(a) Picas and
(b) Points?
The Correct Answer and Explanation is :
Let’s break down the problem step-by-step, converting the misplacement measurement into picas and points.
Given Information:
- 1 pica = 12 points
- 1 inch = 6 picas
- 1 cm = 0.393701 inches (approximate conversion factor from cm to inches)
- Misplacement = 0.80 cm
Step 1: Convert 0.80 cm to inches
We know that:
[ 1 \text{ cm} = 0.393701 \text{ inches} ]
Therefore:
[ 0.80 \text{ cm} = 0.80 \times 0.393701 \text{ inches} ]
[ 0.80 \text{ cm} \approx 0.315 \text{ inches} ]
Step 2: Convert inches to picas
We are given that:
[ 1 \text{ inch} = 6 \text{ picas} ]
So, the misplacement in picas is:
[ 0.315 \text{ inches} \times 6 \text{ picas/inch} ]
[ \approx 1.89 \text{ picas} ]
Step 3: Convert picas to points
Since:
[ 1 \text{ pica} = 12 \text{ points} ]
The misplacement in points is:
[ 1.89 \text{ picas} \times 12 \text{ points/pica} ]
[ \approx 22.68 \text{ points} ]
Final Answer:
- (a) Misplacement in picas ≈ 1.89 picas
- (b) Misplacement in points ≈ 22.68 points
Explanation:
The problem involves converting a misplacement of 0.80 cm into two different units used in typesetting: picas and points. The first step is converting centimeters to inches using a standard conversion factor (1 cm = 0.393701 inches). Then, the conversion to picas is done by multiplying the result by the fact that 1 inch equals 6 picas. Finally, to convert the misplacement into points, we multiply the result in picas by the fact that each pica is equivalent to 12 points. Thus, the final result expresses the misplacement both in terms of picas and points, which are commonly used units in graphic design and printing.