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Convert figures for car engine sizes between cc (cm^3), litres, and m^3.

", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "

{person['name']} quiere comprar un auto. {person['name']} encuentra una publicidad con un auto con un motor de $\\var{cc}$cc. 

\n

{person['name']} Reconoce que 'cc' es por céntimetros cúbicos (cm$^3$) y sabe las siguientes conversiones:

\n\n\n\n\n\n\n\n\n\n\n\n
$1$ m$100$ cm
$1$ litre$1000\\text{cm}^3$ 
", "advice": "

a)

\n

El tamaño del motor es $\\var{cc}$ centimetros cubicos. Para convertir centrimetos cubicos a litros, dividimos por$1000$. 

\n

\\[\\var{cc}\\div 1000= \\var{litres}\\text{ litres.}\\]

\n

b)

\n

Notemos que

\n

\\[ 1 \\text{cm} = 0.01 \\text{m.} \\]

\n

Un ejemplo de volumen $1\\text{cm}^3$ es un cubo de lado $1$cm. Convirtiendo cada cm,

\n

\\begin{align}
1\\text{cm}^3 &= 1\\text{cm}\\times1\\text{cm}\\times1\\text{cm} \\\\
&= 0.01\\text{m}\\times0.01\\text{m}\\times0.01\\text{m} \\\\
&= 0.000001\\text{m}^3 \\text{.}
\\end{align}

\n

Entonces$\\var{cc}\\text{cm}^3$ is 

\n

\\[ \\var{cc} \\times 0.000001 = \\var{metres_cubed}\\text{m}^3\\text{.} \\]

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{person['name']} aplica para saber cuánto costaría el seguro del automóvil, pero se requiere que indique el tamaño del motor en litros.

\n

¿Cuál es el tamaño del motor en litros?

\n

 [[0]] litres. 

\n

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La especificación de un segundo automóvil da el tamaño del motor en m$^3$. Para que {person['name']} haga una comparación convierte el tamaño del motor del primer automóvil a metros cúbicos.

\n

¿Cuál es el tamaño del motor del primer automóvil en unidades de m$^3$?

\n

[[0]]m$^3$      Give your answer to 4 decimal places

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