Geometry, NAPX-G3-NC25 SA, NAPX-G2-37

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

639

Question

A sculpture is cut into 3 objects, as shown below.



What is the total number of faces of the three pieces after the sculpture is cut, including the bases?

Worked Solution
Total faces = 10 + (2 ×\times 6)
= 22

Question Type

Answer Box

Variables

Variable nameVariable value
question
A sculpture is cut into 3 objects, as shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-NC25-1-1.svg 400 indent2 vpad
What is the total number of faces of the three pieces after the sculpture is cut, including the bases?
workedSolution
||| |-|-| |Total faces|= 10 + (2 $\times$ 6)| ||= {{{correctAnswer0}}}|
correctAnswer0
22
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer022

Variant 1

DifficultyLevel

641

Question

A sculpture is cut into 3 objects, as shown below.



What is the total number of faces of the three pieces after the sculpture is cut, including the bases?

Worked Solution
Total faces = 14 + (2 ×\times 6)
= 26

Question Type

Answer Box

Variables

Variable nameVariable value
question
A sculpture is cut into 3 objects, as shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC25-SA_NAPX-G2-37_v1.svg 460 indent2 vpad
What is the total number of faces of the three pieces after the sculpture is cut, including the bases?
workedSolution
||| |-|-| |Total faces|= 14 + (2 $\times$ 6)| ||= {{{correctAnswer0}}}|
correctAnswer0
26
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer026

Variant 2

DifficultyLevel

645

Question

A sculpture is cut into 3 objects, as shown below.



What is the total number of faces of the three pieces after the sculpture is cut, including the bases?

Worked Solution
Total faces = 11 + (2 ×\times 8)
= 27

Question Type

Answer Box

Variables

Variable nameVariable value
question
A sculpture is cut into 3 objects, as shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC25-SA_NAPX-G2-37_v2.svg 500 indent2 vpad
What is the total number of faces of the three pieces after the sculpture is cut, including the bases?
workedSolution
||| |-|-| |Total faces|= 11 + (2 $\times$ 8)| ||= {{{correctAnswer0}}}|
correctAnswer0
27
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer027

Variant 3

DifficultyLevel

643

Question

A sculpture is cut into 3 objects, as shown below.



What is the total number of faces of the three pieces after the sculpture is cut, including the bases?

Worked Solution
Total faces = 10 + (2 ×\times 8)
= 26

Question Type

Answer Box

Variables

Variable nameVariable value
question
A sculpture is cut into 3 objects, as shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC25-SA_NAPX-G2-37_v3.svg 440 indent vpad
What is the total number of faces of the three pieces after the sculpture is cut, including the bases?
workedSolution
||| |-|-| |Total faces|= 10 + (2 $\times$ 8)| ||= {{{correctAnswer0}}}|
correctAnswer0
26
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer026

Variant 4

DifficultyLevel

650

Question

A sculpture is cut into 3 objects, as shown below.



What is the total number of faces of the three pieces after the sculpture is cut, including the bases?

Worked Solution
Total faces = 18 + (2 ×\times 10)
= 38

Question Type

Answer Box

Variables

Variable nameVariable value
question
A sculpture is cut into 3 objects, as shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC25-SA_NAPX-G2-37_v4.svg 530 indent vpad
What is the total number of faces of the three pieces after the sculpture is cut, including the bases?
workedSolution
||| |-|-| |Total faces|= 18 + (2 $\times$ 10)| ||= {{{correctAnswer0}}}|
correctAnswer0
38
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer038

Variant 5

DifficultyLevel

647

Question

A sculpture is cut into 3 objects, as shown below.



What is the total number of faces of the three pieces after the sculpture is cut, including the bases?

Worked Solution
Total faces = 8 + (2 ×\times 14)
= 36

Question Type

Answer Box

Variables

Variable nameVariable value
question
A sculpture is cut into 3 objects, as shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC25-SA_NAPX-G2-37_v5.svg 450 indent2 vpad
What is the total number of faces of the three pieces after the sculpture is cut, including the bases?
workedSolution
||| |-|-| |Total faces|= 8 + (2 $\times$ 14)| ||= {{{correctAnswer0}}}|
correctAnswer0
36
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer036

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