Measurement, NAPX-L4-CA13 o2

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

612

Question

Kellogg creates a rectangular prism by stacking 8 identical triangular prisms together.



What is the volume of one triangular prism, in cubic centimetres?

Worked Solution
Total volume = 28 × 13 × 18
= 6552

∴\therefore Volume of 1 prism = 65528\dfrac{6552}{8}
= 819 cm3^3

Question Type

Answer Box

Variables

Variable nameVariable value
question
Kellogg creates a rectangular prism by stacking 8 identical triangular prisms together.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/04/NAPX-LA-CA13-o2.svg 180 indent3 vpad
What is the volume of one triangular prism, in cubic centimetres?
workedSolution
| | | | --------:| -------------- | | Total volume | \= 28 × 13 × 18 | | | \= 6552 |

| | | | ---------------------: | -------------- | | $\therefore$ Volume of 1 prism | \= $\dfrac{6552}{8}$ | | | \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
819
prefix0
suffix0
cm$^3$

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
correctAnswer0819

cm3^3

Variant 1

DifficultyLevel

612

Question

Ellie creates a rectangular prism by stacking 8 identical triangular prisms together.



What is the volume of one triangular prism, in cubic centimetres?

Worked Solution
Total volume = 24 × 20 × 30
= 14 400 cm3^3

∴\therefore Volume of 1 prism = 14 4008\dfrac{14\ 400}{8}
= 1800 cm3^3

Question Type

Answer Box

Variables

Variable nameVariable value
question
Ellie creates a rectangular prism by stacking 8 identical triangular prisms together.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/04/NAPX-LA-CA13-o1.svg 180 indent3 vpad
What is the volume of one triangular prism, in cubic centimetres?
workedSolution
| | | | --------------------- | -------------- | | Total volume | \= 24 × 20 × 30 | | | \= 14 400 cm$^3$ |

| | | | --------------------- | -------------- | | $\therefore$ Volume of 1 prism | \= $\dfrac{14\ 400}{8}$ | | | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
1800
prefix0
suffix0
cm$^3$

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
correctAnswer01800

cm3^3

Variant 2

DifficultyLevel

611

Question

Groot creates a rectangular prism by stacking 12 identical triangular prisms together.



What is the volume of one triangular prism, in cubic centimetres?

Worked Solution
Total volume = 9 × 4 × 5
= 180

∴\therefore Volume of 1 prism = 18012\dfrac{180}{12}
= 15 cm3^3

Question Type

Answer Box

Variables

Variable nameVariable value
question
Groot creates a rectangular prism by stacking 12 identical triangular prisms together.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA13-o2.svg 320 indent vpad
What is the volume of one triangular prism, in cubic centimetres?
workedSolution
| | | | --------:| -------------- | | Total volume | \= 9 × 4 × 5 | | | \= 180 |

| | | | ---------------------: | -------------- | | $\therefore$ Volume of 1 prism | \= $\dfrac{180}{12}$ | | | \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
15
prefix0
suffix0
cm$^3$

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
correctAnswer015

cm3^3

Variant 3

DifficultyLevel

610

Question

Sienna creates a rectangular prism by stacking 16 identical triangular prisms together.

What is the volume of one triangular prism, in cubic centimetres?

Worked Solution
Total volume = 36 × 8 × 12
= 3456

∴\therefore Volume of 1 prism = 345616\dfrac{3456}{16}
= 216 cm3^3

Question Type

Answer Box

Variables

Variable nameVariable value
question
Sienna creates a rectangular prism by stacking 16 identical triangular prisms together. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA13-o2_v3.svg 320 indent2 vpad What is the volume of one triangular prism, in cubic centimetres?
workedSolution
| | | | --------:| -------------- | | Total volume | \= 36 × 8 × 12 | | | \= 3456 |

| | | | ---------------------: | -------------- | | $\therefore$ Volume of 1 prism | \= $\dfrac{3456}{16}$ | | | \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
216
prefix0
suffix0
cm$^3$

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
correctAnswer0216

cm3^3

Variant 4

DifficultyLevel

608

Question

Simone creates a rectangular prism by stacking 24 identical triangular prisms together.


What is the volume of one triangular prism, in cubic centimetres?

Worked Solution
Total volume = 14 × 21 × 10
= 2940

∴\therefore Volume of 1 prism = 294024\dfrac{2940}{24}
= 122.5 cm3^3

Question Type

Answer Box

Variables

Variable nameVariable value
question
Simone creates a rectangular prism by stacking 24 identical triangular prisms together.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA13-o2_v4.svg 530 indent vpad What is the volume of one triangular prism, in cubic centimetres?
workedSolution
| | | | --------:| -------------- | | Total volume | \= 14 × 21 × 10 | | | \= 2940 |

| | | | ---------------------: | -------------- | | $\therefore$ Volume of 1 prism | \= $\dfrac{2940}{24}$ | | | \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
122.5
prefix0
suffix0
cm$^3$

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
correctAnswer0122.5

cm3^3

Variant 5

DifficultyLevel

606

Question

Celeste creates a rectangular prism by stacking 10 identical triangular prisms together.


What is the volume of one triangular prism, in cubic centimetres?

Worked Solution
Total volume = 7 × 28 × 12
= 2352

∴\therefore Volume of 1 prism = 235210\dfrac{2352}{10}
= 235.2 cm3^3

Question Type

Answer Box

Variables

Variable nameVariable value
question
Celeste creates a rectangular prism by stacking 10 identical triangular prisms together.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA13-o2_v5a.svg 440 indent vpad What is the volume of one triangular prism, in cubic centimetres?
workedSolution
| | | | --------:| -------------- | | Total volume | \= 7 × 28 × 12 | | | \= 2352 |

| | | | ---------------------: | -------------- | | $\therefore$ Volume of 1 prism | \= $\dfrac{2352}{10}$ | | | \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
235.2
prefix0
suffix0
cm$^3$

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
correctAnswer0235.2

cm3^3

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