Geometry, NAPX-G3-NC31 SA, NAPX-G2-40

Question

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Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

674

Question

The pictures show the front, side and top views of an object made of cubes.



How many cubes are needed to make the object?

Worked Solution

Using the top view

⇒\rArr 7 cubes on base.

Using the front view

⇒\rArr Stacked cubes only along the middle row.

Using the side view

⇒\rArr Stacked levels are 3 cubes high.

∴\therefore Total cubes in the object = 11

Question Type

Answer Box

Variables

Variable nameVariable value
question
The pictures show the front, side and top views of an object made of cubes.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-NC31.svg 480 indent vpad
How many cubes are needed to make the object?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-NC31rev.svg 180 indent vpad Using the top view $\rArr$ 7 cubes on base. Using the front view $\rArr$ Stacked cubes only along the middle row. Using the side view $\rArr$ Stacked levels are 3 cubes high. $\therefore$ Total cubes in the object = {{{correctAnswer0}}}
correctAnswer0
11
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
correctAnswer011

Variant 1

DifficultyLevel

670

Question

The pictures show the front, side and top views of an object made of cubes.



How many cubes are needed to make the object?

Worked Solution

Using the top view

⇒\rArr 7 cubes on base.

Using the front view

⇒\rArr Stacked cubes only along the second row.

Using the side view

⇒\rArr Stacked levels are 1 cube high.

∴\therefore Total cubes in the object = 8

Question Type

Answer Box

Variables

Variable nameVariable value
question
The pictures show the front, side and top views of an object made of cubes.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v1.svg 540 indent vpad
How many cubes are needed to make the object?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v1ws1.svg 250 indent vpad Using the top view $\rArr$ 7 cubes on base. Using the front view $\rArr$ Stacked cubes only along the second row. Using the side view $\rArr$ Stacked levels are 1 cube high. $\therefore$ Total cubes in the object = {{{correctAnswer0}}}
correctAnswer0
8
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
correctAnswer08

Variant 2

DifficultyLevel

676

Question

The pictures show the front, side and top views of an object made of cubes.



How many cubes are needed to make the object?

Worked Solution

Using the front view

⇒\rArr 8 cubes on front.

Using the right side view

⇒\rArr Cubes are added on the top and second rows

Using the top view

⇒\rArr Confirms 1 cube only is added to the top and second rows identified in the right side view.

∴\therefore Total cubes in the object = 10

Question Type

Answer Box

Variables

Variable nameVariable value
question
The pictures show the front, side and top views of an object made of cubes.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v2.svg 480 indent vpad
How many cubes are needed to make the object?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v2ws1.svg 200 indent vpad Using the front view $\rArr$ 8 cubes on front. Using the right side view $\rArr$ Cubes are added on the top and second rows Using the top view $\rArr$ Confirms 1 cube only is added to the top and second rows identified in the right side view. $\therefore$ Total cubes in the object = {{{correctAnswer0}}}
correctAnswer0
10
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
correctAnswer010

Variant 3

DifficultyLevel

672

Question

The pictures show the front, side and top views of an object made of cubes.



How many cubes are needed to make the object?

Worked Solution

Using the top view

⇒\rArr 7 cubes on base.

Using the front view

⇒\rArr Stacked cubes are two high on the left hand side and three high on right hand side.

Using the side view

⇒\rArr Stacked levels are all on the back row. 1 cube high on the left back and 2 cubes high on the right back.

∴\therefore Total cubes in the object = 10

Question Type

Answer Box

Variables

Variable nameVariable value
question
The pictures show the front, side and top views of an object made of cubes.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v3.svg 480 indent vpad
How many cubes are needed to make the object?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v3ws.svg 300 indent vpad Using the top view $\rArr$ 7 cubes on base. Using the front view $\rArr$ Stacked cubes are two high on the left hand side and three high on right hand side. Using the side view $\rArr$ Stacked levels are all on the back row. 1 cube high on the left back and 2 cubes high on the right back. $\therefore$ Total cubes in the object = {{{correctAnswer0}}}
correctAnswer0
10
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
correctAnswer010

Variant 4

DifficultyLevel

668

Question

The pictures show the front, side and top views of an object made of cubes.



How many cubes are needed to make the object?

Worked Solution

Using the top view

⇒\rArr 8 cubes on base.

Using the front view

⇒\rArr Stacked cubes only along the middle row

Using the side view

⇒\rArr Stacked levels are 3 cubes high on the 2nd row

∴\therefore Total cubes in the object = 10

Question Type

Answer Box

Variables

Variable nameVariable value
question
The pictures show the front, side and top views of an object made of cubes.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v4.svg 520 indent vpad
How many cubes are needed to make the object?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v4ws.svg 260 indent vpad Using the top view $\rArr$ 8 cubes on base. Using the front view $\rArr$ Stacked cubes only along the middle row Using the side view $\rArr$ Stacked levels are 3 cubes high on the 2nd row $\therefore$ Total cubes in the object = {{{correctAnswer0}}}
correctAnswer0
10
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
correctAnswer010

Variant 5

DifficultyLevel

666

Question

The pictures show the front, side and top views of an object made of cubes.



How many cubes are needed to make the object?

Worked Solution

Using the top view

⇒\rArr 7 cubes on base.

Using the front view

⇒\rArr Stacked cubes are only along the first row.

Using the right side view

⇒\rArr Stacked levels are 2 cubes high on the first row and 3 cubes high on the middle row.

∴\therefore Total cubes in the object = 10

Question Type

Answer Box

Variables

Variable nameVariable value
question
The pictures show the front, side and top views of an object made of cubes.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v5.svg 500 indent vpad
How many cubes are needed to make the object?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v5ws.svg 300 indent vpad Using the top view $\rArr$ 7 cubes on base. Using the front view $\rArr$ Stacked cubes are only along the first row. Using the right side view $\rArr$ Stacked levels are 2 cubes high on the first row and 3 cubes high on the middle row. $\therefore$ Total cubes in the object = {{{correctAnswer0}}}
correctAnswer0
10
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
correctAnswer010

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