Converting units of volume (cc/cm^3/litres/m^3)

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David Rickard 6 years, 5 months ago

Created this as a copy of Converting units of volume (cc/cm^3/litres/m^3).

Name	Status	Author	Last Modified
Converting units of volume (cc/cm^3/litres/m^3)	Ready to use	Chris Graham	20/11/2019 14:36
Converting units of volume (cc/cm^3/litres/m^3)	draft	David Rickard	02/01/2019 18:59
Heather's copy of Converting units of volume (cc/cm^3/litres/m^3)	draft	Heather Driscoll	03/06/2019 11:52
Ivan's copy of Converting units of volume (cc/cm^3/litres/m^3)	draft	Ivan Munoz	10/11/2022 02:22

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Question statement

{person['name']} is looking to buy a car. {capitalise(person['pronouns']['they'])} find{s} one advertised with an engine size of $\var{cc}$ cc.

{person['name']} recognises that 'cc' stands for units of cubic centimetres (cm $^3$ ) and knows the following conversions:

$1$ m	$100$ cm
$1$ litre	$1000\,\text{cm}^3$

Give any introductory information the student needs.

			Name	Type	Generated Value

person	dict	Dictionary with 3 entries
litres	rational	13/5
cc	integer	2600
s	string	s
metres_cubed	number	0.0026

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random_person()

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `dict`

[ "gender": safe("male"), "name": safe("Carter"), "pronouns": [ "they": safe("he"), "their": safe("his"), "theirs": safe("his"), "them": safe("him"), "themself": safe("himself") ] ]

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
Part b) Gap-fill
1. Gap Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

{person['name']} applies to find out how much the insurance for the car would cost, but is required to state the engine size in litres.

What is the engine size in litres?

Unnamed gap litres.

Advice

a)

The advertised engine size is $\var{cc}$ cubic centimetres. To convert cubic centimetres to litres, we divide by $1000$.

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

b)

In order to convert to cubic metres, we first note that

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

An example of a volume of $1\text{cm}^3$ is a cube with $1$cm sides. Converting each side into metres,

\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}

Therefore $\var{cc}\text{cm}^3$ is

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

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This question is used in the following exam:

PHYS1010 - Units of measurement by David Rickard in PHYS1010.

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Converting units of volume (cc/cm^3/litres/m^3)

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

David Rickard 6 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: `dict`

Parts

Gap-fill

a)

b)

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Error

Converting units of volume (cc/cm^3/litres/m^3)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

David Rickard 6 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: dict

Parts

Gap-fill

a)

b)

Generated value: `dict`