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Chapter 1: Problem 4

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 \(0.80 \mathrm{~cm}\), what was the misplacement in (a) picas and (b) points?

Short Answer

Expert verified
Misplacement: (a) 1.89 picas (b) 22.68 points.

Step by step solution

01

Convert centimeters to inches

Since the given misplacement is in centimeters and we need to convert it into picas and points, we should first convert the measurement to inches because the pica unit is defined concerning inches. We know that 1 inch equals 2.54 cm. Therefore, to find the misplacement in inches, we divide the given misplacement by the number of centimeters per inch: \( \frac{0.80 \text{ cm}}{2.54 \text{ cm/in}} \approx 0.315 \text{ inches} \).
02

Convert inches to picas

Next, we convert the distance from inches to picas given that 1 inch equals 6 picas. Multiply the distance in inches by the number of picas per inch: \( 0.315 \text{ inches} \times 6 \text{ picas/inch} = 1.89 \text{ picas} \). Thus, the misplacement is approximately 1.89 picas.
03

Convert picas to points

Since each pica equals 12 points, we now convert the figure from picas to points. To do this, we multiply the picas by the number of points per pica: \(1.89 \text{ picas} \times 12 \text{ points/pica} = 22.68 \text{ points} \). Therefore, the misplacement is approximately 22.68 points.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Picas and Points
Picas and points are measurements often used in typesetting and graphic design to determine the size and spacing of text and images. Understanding these units can be helpful for various creative and technical fields.
  • Point: The smallest unit, points are used to measure font size and spacing. There are 12 points in a pica.
  • Pica: Larger than a point, picas are used for broader measurements, such as column width and page layout. One inch equals 6 picas.

These units help maintain precision, crucial in producing high-quality print layouts. Knowing that 12 points make a pica and 6 picas equal an inch simplifies conversion between these and other units of measurements.
Measurement Conversion
Measurement conversion is a valuable skill as it allows you to translate one unit into another for accuracy in various applications.
When converting measurements, it's essential to know the relationship between units. For example:
  • 1 inch = 2.54 cm
  • 1 inch = 6 picas
  • 1 pica = 12 points

The process of conversion generally involves multiplying or dividing by constants that relate the units. In typesetting, this becomes particularly important, as converting measurements precisely ensures the intended design elements fit correctly on a page.
Distance Conversion
Distance conversion is the process of switching between units of distance, such as centimeters, inches, picas, and points, to suit the context of your work. This is key in fields ranging from printing to engineering.
To effectively convert distances, follow these steps:
  • Understand the original unit (e.g., centimeters to inches: 1 inch = 2.54 cm).
  • Convert to a pivot unit if necessary, which in some projects may be inches.
  • Further translate the pivot unit to the desired measurement (e.g., inches to picas: 1 inch = 6 picas).

Let's consider the exercise problem: First, we converted 0.80 cm to inches by dividing by 2.54, resulting in approximately 0.315 inches. Then, we converted inches to picas by multiplying by 6, giving roughly 1.89 picas. Finally, translating picas to points involved multiplying by 12, leading to about 22.68 points. This layered approach ensures precise unit conversion.

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Most popular questions from this chapter

An old English children's rhyme states, "Little Miss Muffet sat on a tuffet, eating her curds and whey, when along came a spider who sat down beside her...."The spider sat down not because of the curds and whey but because Miss Muffet had a stash of 11 tuffets of dried flies. The volume measure of a tuffet is given by 1 tuffet \(=2\) pecks \(=0.50\) Imperial bushel, where 1 Imperial bushel \(=36.3687\) liters (L). What was Miss Muffet's stash in (a) pecks, (b) Imperial bushels, and (c) liters?

A vertical container with base area measuring \(14.0 \mathrm{~cm}\) by \(17.0 \mathrm{~cm}\) is being filled with identical pieces of candy, each with a volume of \(50.0 \mathrm{~mm}^{3}\) and a mass of \(0.0200 \mathrm{~g}\). Assume that the volume of the empty spaces between the candies is negligible. If the height of the candies in the container increases at the rate of \(0.250\) \(\mathrm{cm} / \mathrm{s}\), at what rate (kilograms per minute) does the mass of the candies in the container increase?

The micrometer \((1 \mu \mathrm{m})\) is often called the micron. (a) How many microns make up \(1.0 \mathrm{~km}\) ? (b) What fraction of a centimeter equals \(1.0 \mu \mathrm{m} ?(\mathrm{c})\) How many microns are in \(1.0 \mathrm{yd}\) ?

One cubic centimeter of a typical cumulus cloud contains 50 to 500 water drops, which have a typical radius of \(10 \mu \mathrm{m}\). For that range, give the lower value and the higher value, respectively, for the following. (a) How many cubic meters of water are in a cylindrical cumulus cloud of height \(3.0 \mathrm{~km}\) and radius \(1.0 \mathrm{~km} ?\) (b) How many 1-liter pop bottles would that water fill? (c) Water has a density of \(1000 \mathrm{~kg} / \mathrm{m}^{3} .\) How much mass does the water in the cloud have?

The common Eastern mole, a mammal, typically has a mass of \(75 \mathrm{~g}\), which corresponds to about \(7.5 \mathrm{moles}\) of atoms. (A mole of atoms is \(6.02 \times 10^{23}\) atoms.) In atomic mass units (u), what is the average mass of the atoms in the common Eastern mole?
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