Geometry, NAPX-I3-NC32 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

715

Question

A rectangular piece of wood is cut out of the prism below.



The rectangular piece creates an opening at the front and back of the prism.

How many edges does the original piece of wood have after the rectangular prism is removed?

Worked Solution

Edges on front face = 16

Edges on back face = 16

Edges on side (including the hole) = 16
∴\therefore Total edges = 16 + 16 + 16
= 48

Question Type

Answer Box

Variables

Variable nameVariable value
question
A rectangular piece of wood is cut out of the prism below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-I3-NC32-SA.svg 400 indent3 vpad
The rectangular piece creates an opening at the front and back of the prism. How many edges does the original piece of wood have after the rectangular prism is removed?
workedSolution
Edges on front face = 16 Edges on back face = 16 Edges on side (including the hole) = 16
||| |-|-| |$\therefore$ Total edges| = 16 + 16 + 16| ||= {{{correctAnswer0}}}|
correctAnswer0
48
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
correctAnswer048

Variant 1

DifficultyLevel

714

Question

A rectangular piece of wood is cut out of the prism below.



The rectangular piece creates an opening at the front and back of the prism.

How many edges does the original piece of wood have after the rectangular prism is removed?

Worked Solution

Edges on front face = 14

Edges on back face = 14

Edges on side (including the hole) = 14
∴\therefore Total edges = 14 + 14 + 14
= 42

Question Type

Answer Box

Variables

Variable nameVariable value
question
A rectangular piece of wood is cut out of the prism below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-I3-NC32-SA_v1.svg 360 indent3 vpad
The rectangular piece creates an opening at the front and back of the prism. How many edges does the original piece of wood have after the rectangular prism is removed?
workedSolution
Edges on front face = 14 Edges on back face = 14 Edges on side (including the hole) = 14
||| |-|-| |$\therefore$ Total edges| = 14 + 14 + 14| ||= {{{correctAnswer0}}}|
correctAnswer0
42
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
correctAnswer042

Variant 2

DifficultyLevel

716

Question

A rectangular piece of wood is cut out of the prism below.



The rectangular piece creates an opening at the front and back of the prism.

How many edges does the original piece of wood have after the rectangular prism is removed?

Worked Solution

Edges on front face = 24

Edges on back face = 24

Edges on side (including the hole) = 24
∴\therefore Total edges = 24 + 24 + 24
= 72

Question Type

Answer Box

Variables

Variable nameVariable value
question
A rectangular piece of wood is cut out of the prism below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-I3-NC32-SA_v2.svg 420 indent3 vpad
The rectangular piece creates an opening at the front and back of the prism. How many edges does the original piece of wood have after the rectangular prism is removed?
workedSolution
Edges on front face = 24 Edges on back face = 24 Edges on side (including the hole) = 24
||| |-|-| |$\therefore$ Total edges| = 24 + 24 + 24| ||= {{{correctAnswer0}}}|
correctAnswer0
72
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
correctAnswer072

Variant 3

DifficultyLevel

715

Question

A rectangular piece of wood is cut out of the prism below.



The rectangular piece creates an opening at the front and back of the prism.

How many edges does the original piece of wood have after the rectangular prism is removed?

Worked Solution

Edges on front face = 20

Edges on back face = 20

Edges on side (including the hole) = 20
∴\therefore Total edges = 20 + 20 + 20
= 60

Question Type

Answer Box

Variables

Variable nameVariable value
question
A rectangular piece of wood is cut out of the prism below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-I3-NC32-SA_v3.svg 300 indent3 vpad
The rectangular piece creates an opening at the front and back of the prism. How many edges does the original piece of wood have after the rectangular prism is removed?
workedSolution
Edges on front face = 20 Edges on back face = 20 Edges on side (including the hole) = 20
||| |-|-| |$\therefore$ Total edges| = 20 + 20 + 20| ||= {{{correctAnswer0}}}|
correctAnswer0
60
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
correctAnswer060

Variant 4

DifficultyLevel

718

Question

A rectangular piece of wood is cut out of the prism below.



The rectangular piece creates an opening at the front and back of the prism.

How many edges does the original piece of wood have after the rectangular prism is removed?

Worked Solution

Edges on top face = 22

Edges on bottom face = 22

Edges on side (including the hole) = 22
∴\therefore Total edges = 22 + 22 + 22
= 66

Question Type

Answer Box

Variables

Variable nameVariable value
question
A rectangular piece of wood is cut out of the prism below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-I3-NC32-SA_v4.svg 300 indent3 vpad
The rectangular piece creates an opening at the front and back of the prism. How many edges does the original piece of wood have after the rectangular prism is removed?
workedSolution
Edges on top face = 22 Edges on bottom face = 22 Edges on side (including the hole) = 22
||| |-|-| |$\therefore$ Total edges| = 22 + 22 + 22| ||= {{{correctAnswer0}}}|
correctAnswer0
66
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
correctAnswer066

Variant 5

DifficultyLevel

712

Question

A rectangular piece of wood is cut out of the prism below.



The rectangular piece creates an opening at the front and back of the prism.

How many edges does the original piece of wood have after the rectangular prism is removed?

Worked Solution

Edges on front face = 16

Edges on back face = 16

Edges on side (including the hole) = 16
∴\therefore Total edges = 16 + 16 + 16
= 48

Question Type

Answer Box

Variables

Variable nameVariable value
question
A rectangular piece of wood is cut out of the prism below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-I3-NC32-SA_v5.svg 350 indent3 vpad
The rectangular piece creates an opening at the front and back of the prism. How many edges does the original piece of wood have after the rectangular prism is removed?
workedSolution
Edges on front face = 16 Edges on back face = 16 Edges on side (including the hole) = 16
||| |-|-| |$\therefore$ Total edges| = 16 + 16 + 16| ||= {{{correctAnswer0}}}|
correctAnswer0
48
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
correctAnswer048

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