// Numbas version: finer_feedback_settings {"name": "Gu\u00eda de Porcentaje y Volumen de Cuerpos", "metadata": {"description": "", "licence": "None specified"}, "duration": 7200, "percentPass": "0", "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "8\u00b0 B\u00e1sico B", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": [""], "questions": [{"name": "Gu\u00eda de 8\u00b0 de Porcentaje y Vol\u00famenes de Cuerpos", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Emilio Gonz\u00e1lez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/9326/"}], "tags": [], "metadata": {"description": "

En este test se evaluarán el calculo de porcentajes y de área y volumen de cubos, prismas de base cuadrada y cilindros.

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

1)    ¿Cuál es el $40\\%$de $1200$?

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2)    ¿Qué porcentaje es  $625$ de $2500$?

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3)    ¿De qué cantidad $128$ es el $16\\%$?

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4)    ¿Cuál es el área de una caja de pandora cúbica si su arista mide $8$ m?

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5)    ¿Cuál es el volumen de un refrigerador de base cuadrada,  arista basal $50$ cm y altura $180$ cm?

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6)    Se tienen dos tarros, el primer tarro de frutas su diámetro es de $8$ cm (radio $4$ cm) y altura $6$ cm. El segundo tarro de leche tiene diámetro $6$ $cm$ (radio $3$ cm) y altura $8$ cm, ¿Cuál de los dos tarros tiene mayor volumen? Considere $\\pi=3$.

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", "advice": "

Vamos mucho éxito en su producto de aprendizaje

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Observación: En las preguntas 1, 2 y 3, en el paso 2 del desarrollo, usted debe escribir una expresión de la forma    $x=$$\\Large \\frac{a \\cdot b}{c} $, debe considerar para obtener la respuesta correcta que $a<b$, es decir $a$ es menor que $b$, en cada uno de los ejercicios. 

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Paso 1: Construir la tabla de porcentaje.    

\n\n\n\n\n\n\n\n\n\n\n\n\n\n
[[0]]$\\rightarrow$ $100\\%$
$x$$\\rightarrow$ [[1]]$\\%$
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Paso 2: Realizar la multiplicación cruzada entre valores conocidos y dividirlo por el valor cruzado a $x$.

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                   [[2]]$\\cdot$ [[3]] 

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       $x=$  _______________                        

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                             [[4]]

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                  [[5]]

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       $x=$ _______  $=$ [[6]]

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                  [[4]]

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\n

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"adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Paso 1: Construir la tabla de porcentaje.    

\n\n\n\n\n\n\n\n\n\n\n\n\n\n
[[0]]$\\rightarrow$ $100\\%$
[[1]]$\\rightarrow$ $x\\%$
\n

Paso 2: Realizar la multiplicación cruzada entre valores conocidos y dividirlo por el valor cruzado a $x$.

\n


                   [[2]]$\\cdot$[[3]]  

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       $x=$  ______________                        

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                           [[4]]  

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                 [[5]] 

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       $x=$ _______  $=$ [[6]]

\n

                  [[4]]

\n
\n

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"adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Paso 1: Construir la tabla de porcentaje.    

\n\n\n\n\n\n\n\n\n\n\n\n\n\n
$x$$\\rightarrow$ $100\\%$
[[0]]$\\rightarrow$ [[1]] $\\%$
\n

Paso 2: Realizar la multiplicación cruzada entre valores conocidos y dividirlo por el valor cruzado a $x$.

\n


                   [[2]]$\\cdot$[[3]]  

\n

       $x=$  ______________                       

\n

                           [[4]]  

\n

                 [[5]] 

\n

       $x=$ _______  $=$ [[6]]

\n

                  [[4]]

\n
\n

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El área de un cubo se obtiene por medio de la fórmula $A_{cubo}=6\\cdot a^2$, donde $a$ es la medida de la arista del cubo.

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Respuesta:  $A_{cubo}=6 \\cdot$ [[0]]$^{2}$

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                                      $=6\\cdot$[[1]]

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                                      $=$[[2]]

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\n

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Para calcular el volumen del refrigerador debemos usar la fórmula del volumen de un prisma de base cuadrada, la cual está dada por la expresión $V_{prisma}=b^2 \\cdot h$, donde $b$ es la medida de la base del refrigerador y $h$ es su altura.

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Respuesta:  $V_{prisma}=$ [[0]]$^2 \\cdot$ [[1]] 

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                                          $=$ [[2]] $\\cdot$ [[1]] 

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                                          $=$ [[3]] 

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Para este ejercicio debemos usar para ambos tarros la fórmula del volumen de un cilindro, es cual se obtiene por medio de la expresión $V_{cilindro}=\\pi \\cdot r^2 \\cdot h$, considerando en cada volumen que $\\pi=3$.

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Volumen del tarro de frutas:  $V_{frutas}=3 \\cdot$ [[0]] $^2$ $\\cdot$ [[1]] 

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                                                                             $= 3 \\cdot$ [[2]] $\\cdot$ [[1]] 

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                                                                             $=$ [[3]]

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Volumen del tarro de leche: $V_{leche}=3 \\cdot$ [[4]] $^2$ $\\cdot$ [[5]] 

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                                                                        $= 3 \\cdot$ [[6]] $\\cdot$ [[5]] 

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                                                                        $=$ [[7]]

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Respuesta el volumen del tarro de frutas es [[8]] al volumen del tarro de leche.

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"always", "penaltyVisibility": "always", "type": "question"}]}], "allowPrinting": true, "navigation": {"allowregen": false, "reverse": true, "browse": true, "allowsteps": true, "showfrontpage": true, "showresultspage": "never", "navigatemode": "sequence", "onleave": {"action": "warnifunattempted", "message": "

No ha completado una respuesta.

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¡¡¡Restan 5 minutos para completar el producto de aprendizaje!!!

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Esta guía corresponde al producto de aprendizaje número 4. Saludos y mucho éxito.

", "reviewshowscore": false, "reviewshowfeedback": true, "reviewshowexpectedanswer": true, "reviewshowadvice": true, "feedbackmessages": [], "enterreviewmodeimmediately": false, "showexpectedanswerswhen": "never", "showpartfeedbackmessageswhen": "always", "showactualmarkwhen": "never", "showtotalmarkwhen": "always", "showanswerstatewhen": "never", "showadvicewhen": "inreview"}, "type": "exam", "contributors": [{"name": "Emilio Gonz\u00e1lez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/9326/"}], "extensions": [], "custom_part_types": [], "resources": []}