Measurement, RAPH12 Q11-12

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

640

Question

Carlo is building a rectangular prism using identical triangular blocks as shown below.


The solid figure made has 6 faces.


How many triangular blocks did Carlo use to build this figure?

Worked Solution

Blocks in the top row = 8

There are an equal number of triangular blocks in each row.
Total blocks = 8 ×\times 4
= 32

Question Type

Answer Box

Variables

Variable nameVariable value
question
Carlo is building a rectangular prism using identical triangular blocks as shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/07/11.svg 150 indent3 vpad The solid figure made has 6 faces.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/07/11_s.svg 250 indent3 vpad How many triangular blocks did Carlo use to build this figure?
workedSolution
Blocks in the top row = 8 There are an equal number of triangular blocks in each row.
| | | | ------------- | ---------- | | Total blocks | \= 8 $\times$ 4 | | | \= {{{correctAnswer0}}} |
correctAnswer0
32
prefix0
suffix0
blocks

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
correctAnswer032

blocks

Variant 1

DifficultyLevel

625

Question

Francis is building a rectangular prism using identical blocks as shown below.

The solid figure made has 6 faces.


How many blocks did Francis use to build this figure?

Worked Solution

Blocks in facing row = 4 + 6 + 6 = 16

There are an equal number of rectangular blocks in each row (going back).
Total blocks = 16 ×\times 4
= 64

Question Type

Answer Box

Variables

Variable nameVariable value
question
Francis is building a rectangular prism using identical blocks as shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/07/12.svg 50 indent3 vpad The solid figure made has 6 faces.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/07/12_s.svg 250 indent3 vpad How many blocks did Francis use to build this figure?
workedSolution
Blocks in facing row = 4 + 6 + 6 = 16 There are an equal number of rectangular blocks in each row (going back).
| | | | ------------- | ---------- | | Total blocks | \= 16 $\times$ 4 | | | \= {{{correctAnswer0}}} |
correctAnswer0
64
prefix0
suffix0
blocks

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
correctAnswer064

blocks

Variant 2

DifficultyLevel

635

Question

Luca is building a rectangular prism using identical triangular blocks as shown below.

The solid figure made has 6 faces.


How many triangular blocks did Luca use to build this figure?

Worked Solution

Blocks in top third of prism = 4 + 16 + 4 + 8 = 32

There are an equal number of triangular blocks in each third (going down).
Total blocks = 32 ×\times 3
= 96

Question Type

Answer Box

Variables

Variable nameVariable value
question
Luca is building a rectangular prism using identical triangular blocks as shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_RAPH12_Q11-12_v2a.svg 100 indent3 vpad The solid figure made has 6 faces.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_RAPH12_Q11-12_v2b.svg indent3 vpad How many triangular blocks did Luca use to build this figure?
workedSolution
Blocks in top third of prism = 4 + 16 + 4 + 8 = 32 There are an equal number of triangular blocks in each third (going down).
| | | | ------------- | ---------- | | Total blocks | \= 32 $\times$ 3 | | | \= {{{correctAnswer0}}} |
correctAnswer0
96
prefix0
suffix0
blocks

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
correctAnswer096

blocks

Variant 3

DifficultyLevel

630

Question

Paris is building a rectangular prism using identical triangular blocks as shown below.

The solid figure made has 6 faces.


How many triangular blocks did Paris use to build this figure?

Worked Solution

Blocks in top third of prism = 4 + 16 + 4 = 24

There are an equal number of triangular blocks in each third (going down).
Total blocks = 24 ×\times 3
= 72

Question Type

Answer Box

Variables

Variable nameVariable value
question
Paris is building a rectangular prism using identical triangular blocks as shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_RAPH12_Q11-12_v3a.svg 100 indent3 vpad The solid figure made has 6 faces.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_RAPH12_Q11-12_v3_b.svg indent3 vpad How many triangular blocks did Paris use to build this figure?
workedSolution
Blocks in top third of prism = 4 + 16 + 4 = 24 There are an equal number of triangular blocks in each third (going down).
| | | | ------------- | ---------- | | Total blocks | \= 24 $\times$ 3 | | | \= {{{correctAnswer0}}} |
correctAnswer0
72
prefix0
suffix0
blocks

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

blocks

Variant 4

DifficultyLevel

630

Question

Boston is building a 3-dimensional figure using identical blocks as shown below.

The solid figure made has 6 faces.


How many blocks did Boston use to build this figure?

Worked Solution

Blocks in top third = 3 + 6 + 3 + 6 + 3 + 6 = 27

There are an equal number of rectangular blocks in each third (going down).
Total blocks = 27 ×\times 3
= 81

Question Type

Answer Box

Variables

Variable nameVariable value
question
Boston is building a 3-dimensional figure using identical blocks as shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_RAPH12_Q11-12_v4a.svg 70 indent3 vpad The solid figure made has 6 faces.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_RAPH12_Q11-12_v4b.svg 300 indent3 vpad How many blocks did Boston use to build this figure?
workedSolution
Blocks in top third = 3 + 6 + 3 + 6 + 3 + 6 = 27 There are an equal number of rectangular blocks in each third (going down).
| | | | ------------- | ---------- | | Total blocks | \= 27 $\times$ 3 | | | \= {{{correctAnswer0}}} |
correctAnswer0
81
prefix0
suffix0
blocks

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
correctAnswer081

blocks

Tags