# 2.2. ¿Cómo llegar y construir?

# Antes del metro...

## ¿Cómo medían los romanos?

Levantar campamentos, almacenar suministros o construir calzadas no se hacía "a ojo": necesitaban medir.

Llamas magnitudes a todas aquellas propiedades o características que puedes medir (como la longitud, la masa o el tiempo).

Medir es comparar una de estas magnitudes con una unidad de referencia para conocer su valor exacto.

Mucho antes del Sistema Métrico Decimal (SMD), el Imperio romano ya trazaba obras perfectas.

¿Su secreto? Usar su propio cuerpo como cinta métrica.

Por ejemplo, dedo, palmo, pie y paso eran unidades de referencia para las longitudes.

## El contador de las calzadas

¿Te has preguntado de dónde viene la palabra "milla"?

Viene de Mille Passus (mil pasos).

Cada vez que una legión caminaba mil pasos dobles, los ingenieros colocaban una piedra gigante llamada miliario.

Los miliarios son como los "carteles de autovía" de la antigüedad.

En ellos podías leer la distancia hasta la ciudad más próxima y quién había pagado la carretera.

## ¿Por qué cambiar?

El problema de medir con "pies" es que no todos los pies son iguales.

Por eso, hoy usas el Sistema Métrico Decimal (SMD), donde un metro es igual en todo el mundo.

Esto te permite hacer cálculos de longitud, masa, volumen y capacidad con total precisión.

## Lectura facilitada

## ¿Cómo medían los romanos?

Los romanos construían campamentos, almacenes y carreteras perfectas.

Para lograrlo, necesitaban medir.

- Magnitud: Es todo lo que se puede medir. Por ejemplo: la longitud, la masa o el tiempo.
- Medir: Es comparar algo con una medida de referencia para saber su valor exacto.

Los romanos no tenían reglas de medir.

Su secreto era usar su propio cuerpo.

Usaban cuatro medidas principales de longitud: el dedo, e l palmo, e l pie y e l paso.

## Los miliarios

La palabra milla viene del latín Mille Passus y significa mil pasos.

Cada mil pasos dobles que caminaban soldados, ingenieros colocaban una piedra gigante llamada miliario.

Los miliarios eran los carteles de las carreteras antiguas.

Tenían dos datos importantes:

- La distancia hasta la ciudad más cercana.
- El nombre de la persona que pagó la carretera.

## El cambio al sistema actual

Medir con el cuerpo tenía un problema: los cuerpos de las personas no son iguales.

El pie de cada persona mide algo diferente.

Por eso hoy usas el Sistema Métrico Decimal (SMD).

En este sistema, un metro mide lo mismo en todo el mundo.

Esto permite medir la longitud, la masa y el volumen con total precisión.

## ¿Y ahora el SMD?

## Prefijos

Estos son algunos de los prefijos más importantes para múltiplos y submúltiplos.

Múltiplos y submúltiplos

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Los prefijos se pueden indicar con potencias de base diez, con exponente positivo para los múltiplos y negativo para los submúltiplos.

A partir de \({\mathrm{10}}^\mathrm{3}\) los prefijos llevan un nombre específico si son múltiplos de tres:

- Mega (M) 106
- Giga (G) 109
- Tera (T) 1012

Lo mismo ocurre con los exponentes negativos, en ese caso son micro (\(\mu\)) para exponente -6, nano (n) para exponente -9 y pico (p) para exponente -12.

## Longitud

La unidad de medida de longitud es el metro (m).

Múltiplos y submúltiplos del metro

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Para pasar de unas unidades a otras se utiliza la multiplicación por 10 o la división entre 10.

También se pueden utilizar para los cambios de unidades los factores de conversión. En el apartado 3.1. se explica lo que son y cómo aplicarlos.

## Masa

La unidad de medida de masa en el Sistema Internacional (SI) es el kilogramo (kg). En el siguiente esquema puedes ver el múltiplo y los submúltiplos más empleados.

Habitualmente utilizamos fracciones del kilogramo cuando vamos a comprar al supermercado; también empleamos los gramos (g) para compras más pequeñas (por ejemplo, loncheados) y, en el caso de medicamentos, se utilizan los miligramos (mg).

Múltiplos y submúltiplos del kilogramo

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## Capacidad

La unidad de medida es el litro (l).

Múltiplos y submúltiplos del litro

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## Superficie

La unidad de medida es el metro cuadrado. En este mapa mental puedes ver la relación entre estas unidades y las unidades agrarias.

Unidades de superficie y agrarias

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## Volumen

La unidad de medida es el metro cúbico. En este mapa mental puedes ver la relación entre estas unidades y las unidades de capacidad.

Unidades de volumen y de capacidad

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# Las vías de Gallaecia

Debes unificar las medidas de los mapas.

Completa los espacios realizando las conversiones de unidades indicadas.

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- Vía Nova: Une Bracara Augusta con Asturica Augusta. Tiene una longitud de 330 km. Si un mensajero a caballo recorre solo la mitad, habrá avanzado @@330 000@@ metros.
- Vía XIX: Conectaba Braga con Lugo. Su longitud es de 500 km, lo que equivale a @@5000@@ hectómetros (hm).
- Vía XX: Esta variante costera tiene unos 450 km. En el mapa del general, esto se representa como @@45 000 000@@ centímetros (cm).
- Calzada de Hío: esta vía secundaria mide 0,3 km. Para los ingenieros que reparan el empedrado, esta distancia es de @@300@@ metros.
- Tramo de Lugo: Un tramo histórico de 33,5 km. Si lo expresas en decámetros (dam), la distancia es de @@3350@@ dam.
- Miliario: Una piedra miliaria tiene una base de 60 cm. Para calcular el espacio en el transporte, necesitas saber que mide @@0,6@@ metros.

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# El campamento en cifras

Empleando factores de conversión, realiza los cambios de unidades necesarios para comprender las cifras de una conquista.

- La distancia entre Lucus Augusti y Aquis Querquennis es de 95 km, que son Rellenar huecos (1):
  JXUwMDYxJXUwMDBjJXUwMDE1JXUwMDEwJXUwMDAwJXUwMDAw m.
- Una calzada romana mide 9500 m, que en km son Rellenar huecos (2):
  JXUwMDYxJXUwMDE1JXUwMDE5 .
- Un foso mide 950 cm de profundidad, que son Rellenar huecos (3):
  JXUwMDYxJXUwMDBj dm.
- La anchura de una vía es de 95 m, que serán Rellenar huecos (4):
  JXUwMDYxJXUwMDBjJXUwMDA1JXUwMDAw cm.
- Un campamento ocupa 95 000 m2 que son Rellenar huecos (5):
  JXUwMDYxJXUwMDE1JXUwMDE5 ha.
- Una villa romana tiene 0,95 ha, que son Rellenar huecos (6):
  JXUwMDYxJXUwMDBjJXUwMDE1JXUwMDEwJXUwMDAwJXUwMDAw m2.
- Un patio mide 9 500 000 m2, que son Rellenar huecos (7):
  JXUwMDYxJXUwMDBjJXUwMDA1 m2.
- Un almacén tiene 950 m3, que son Rellenar huecos (8):
  JXUwMDYxJXUwMDBjJXUwMDA1JXUwMDEwJXUwMDEwJXUwMDAwJXUwMDAw dm3.
- Un foso tiene 95 000 dm3, que son Rellenar huecos (9):
  JXUwMDYxJXUwMDBj m3.
- Un ánfora contiene 95 l, que son Rellenar huecos (10):
  JXUwMDYxJXUwMDBjJXUwMDE1JXUwMDEwJXUwMDAwJXUwMDAw ml.
- Un tributo consiste en 0,95 m3, que son Rellenar huecos (11):
  JXUwMDYxJXUwMDBjJXUwMDA1 l.

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