Measurement, NAPX-E4-NC31 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

790

Question

Shaz uses a rectangular prism pictured below as a basic building block.

She stacks the blocks and makes a solid cube.

What is the smallest number of blocks needed to make a cube?

Worked Solution

The smallest cube will have the smallest base:



Base will have 15 blocks.

Cube will have 15 stacked levels.

∴\therefore Blocks needed for the smallest cube
= 15 ×\times 15
= 225

Question Type

Answer Box

Variables

Variable nameVariable value
question
Shaz uses a rectangular prism pictured below as a basic building block. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-E4-NC31-SA.svg 280 indent3 vpad She stacks the blocks and makes a solid cube. What is the **smallest** number of blocks needed to make a cube?
workedSolution
The smallest cube will have the smallest base:
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX-E4-NC31-SA_v0.svg 440 indent3 vpad
Base will have 15 blocks. Cube will have 15 stacked levels. sm_nogap $\therefore$ Blocks needed for the smallest cube
>>|| |-| |= 15 $\times$ 15| |= {{{correctAnswer0}}}|
correctAnswer0
225
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
correctAnswer0225

Variant 1

DifficultyLevel

781

Question

Brad uses a rectangular prism pictured below as a basic building block.

He stacks the blocks and makes a solid cube.

What is the smallest number of blocks needed to make a cube?

Worked Solution

The smallest cube will have the smallest base:



Base will have 6 blocks.

Cube will have 6 stacked levels.

∴\therefore Blocks needed for the smallest cube
= 6 ×\times 6
= 36

Question Type

Answer Box

Variables

Variable nameVariable value
question
Brad uses a rectangular prism pictured below as a basic building block. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-E4-NC31-SA_v1q_q.svg 250 indent3 vpad He stacks the blocks and makes a solid cube. What is the **smallest** number of blocks needed to make a cube?
workedSolution
The smallest cube will have the smallest base:
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX-E4-NC31-SA_v1.svg 380 indent3 vpad
Base will have 6 blocks. Cube will have 6 stacked levels. sm_nogap $\therefore$ Blocks needed for the smallest cube
>>|| |-| |= 6 $\times$ 6| |= {{{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

Variant 2

DifficultyLevel

772

Question

Shirley uses a rectangular prism pictured below as a basic building block.

She stacks the blocks and makes a solid cube.

What is the smallest number of blocks needed to make a cube?

Worked Solution

The smallest cube will have the smallest base:



Base will have 10 blocks.

Cube will have 10 stacked levels.

∴\therefore Blocks needed for the smallest cube
= 10 ×\times 10
= 100

Question Type

Answer Box

Variables

Variable nameVariable value
question
Shirley uses a rectangular prism pictured below as a basic building block. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-E4-NC31-SA_v2q1.svg 260 indent3 vpad She stacks the blocks and makes a solid cube. What is the **smallest** number of blocks needed to make a cube?
workedSolution
The smallest cube will have the smallest base:
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX-E4-NC31-SA_v2.svg 370 indent3 vpad
Base will have 10 blocks. Cube will have 10 stacked levels. sm_nogap $\therefore$ Blocks needed for the smallest cube
>>|| |-| |= 10 $\times$ 10| |= {{{correctAnswer0}}}|
correctAnswer0
100
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
correctAnswer0100

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