Measurement, NAPX-H4-NC29 SA

Question

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Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

596

Question

A dog bath is in the shape of a rectangular prism.

Its measurements can be seen below:



One cubic metre holds 1000 litres of water.

How many litres of water will fill the dog bath?

Worked Solution

Volume of dog bath
= 4 × 1.5 × 0.75
= 4.5 m3^3
= 4500 litres

Question Type

Answer Box

Variables

Variable nameVariable value
question
A dog bath is in the shape of a rectangular prism. Its measurements can be seen below:
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-H4-NC29-SA.svg 280 indent3 vpad
One cubic metre holds 1000 litres of water. How many litres of water will fill the dog bath?
workedSolution
sm_nogap Volume of dog bath
>>|| |-| |= 4 × 1.5 × 0.75| |= 4.5 m$^3$| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
4500
prefix0
suffix0
litres

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
correctAnswer04500

litres

Variant 1

DifficultyLevel

594

Question

A water trough is in the shape of a rectangular prism.

Its measurements can be seen below:



One cubic metre holds 1000 litres of water.

How many litres of water will it take to fill the water trough?

Worked Solution

Volume of water trough
= 2.4 × 0.9 × 1.1
= 2.376 m3^3
= 2376 litres

Question Type

Answer Box

Variables

Variable nameVariable value
question
A water trough is in the shape of a rectangular prism. Its measurements can be seen below:
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-H4-NC29-SA_v1.svg 350 indent3 vpad
One cubic metre holds 1000 litres of water. How many litres of water will it take to fill the water trough?
workedSolution
sm_nogap Volume of water trough
>>|| |-| |= 2.4 × 0.9 × 1.1| |= 2.376 m$^3$| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
2376
prefix0
suffix0
litres

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
correctAnswer02376

litres

Variant 2

DifficultyLevel

595

Question

A shipping container is in the shape of a rectangular prism is to be converted into a swimming pool.

Its measurements can be seen below:


One cubic metre holds 1000 litres of water.

How many litres of water will it take to fill the converted shipping container?

Worked Solution

Volume of converted shipping container
= 9.2 × 2.6 × 2.4
= 56.784 m3^3
= 56 784 litres

Question Type

Answer Box

Variables

Variable nameVariable value
question
A shipping container is in the shape of a rectangular prism is to be converted into a swimming pool. Its measurements can be seen below: sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-H4-NC29-SA_v2a.svg 240 indent3 vpad
One cubic metre holds 1000 litres of water. How many litres of water will it take to fill the converted shipping container?
workedSolution
sm_nogap Volume of converted shipping container
>>|| |-| |= 9.2 × 2.6 × 2.4| |= 56.784 m$^3$| |= 56 784 litres|
correctAnswer0
56784
prefix0
suffix0
litres

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
correctAnswer056784

litres

Variant 3

DifficultyLevel

592

Question

A fish tank is in the shape of a rectangular prism.

Its measurements can be seen below:



One cubic metre holds 1000 litres of water.

How many litres of water will it take to fill the fish tank?

Worked Solution

Volume of fish tank
= 0.6 × 0.8 × 0.6
= 0.288 m3^3
= 288 litres

Question Type

Answer Box

Variables

Variable nameVariable value
question
A fish tank is in the shape of a rectangular prism. Its measurements can be seen below:
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-H4-NC29-SA_v3.svg 340 indent3 vpad
One cubic metre holds 1000 litres of water. How many litres of water will it take to fill the fish tank?
workedSolution
sm_nogap Volume of fish tank
>>|| |-| |= 0.6 × 0.8 × 0.6| |= 0.288 m$^3$| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
288
prefix0
suffix0
litres

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
correctAnswer0288

litres

Variant 4

DifficultyLevel

590

Question

A kitchen sink is in the shape of a rectangular prism.

Its measurements can be seen below:



One cubic metre holds 1000 litres of water.

How many litres of water, to the nearest litre, will it take to fill the kitchen sink?

Worked Solution

Volume of kitchen sink
= 0.24 × 0.36 × 0.44
= 0.038016 m3^3
= 38.016 litres
= 38 litres (nearest litre)

Question Type

Answer Box

Variables

Variable nameVariable value
question
A kitchen sink is in the shape of a rectangular prism. Its measurements can be seen below:
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-H4-NC29-SA-v4.svg 300 indent3 vpad
One cubic metre holds 1000 litres of water. How many litres of water, to the nearest litre, will it take to fill the kitchen sink?
workedSolution
sm_nogap Volume of kitchen sink
>>|| |-| |= 0.24 × 0.36 × 0.44| |= 0.038016 m$^3$| |= 38.016 litres| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
38
prefix0
suffix0
litres (nearest litre)

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
correctAnswer038

litres (nearest litre)

Variant 5

DifficultyLevel

588

Question

A water tank is in the shape of a rectangular prism.

Its measurements can be seen below:



One cubic metre holds 1000 litres of water.

How many litres of water will it take to fill the water tank?

Worked Solution

Volume of water tank
= 2.1 × 4 × 0.8
= 6.72 m3^3
= 6720 litres

Question Type

Answer Box

Variables

Variable nameVariable value
question
A water tank is in the shape of a rectangular prism. Its measurements can be seen below:
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-H4-NC29-SA-v5.svg 400 indent vpad
One cubic metre holds 1000 litres of water. How many litres of water will it take to fill the water tank?
workedSolution
sm_nogap Volume of water tank
>>|| |-| |= 2.1 × 4 × 0.8| |= 6.72 m$^3$| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
6720
prefix0
suffix0
litres

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
correctAnswer06720

litres

Tags

  • ms_ca