Measurement, NAPX-H4-CA25 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

706

Question

Rodin makes a large sculpture in the shape of a cube.

The total length of all of its edges is 72 metres.

What is the area of one of the cube's faces?

Worked Solution

Total edges of a cube = 12

Length of 1 edge

= 72 ÷ 12

= 6 metres


∴\therefore Area of one face

= 6 × 6

= 36 m2^2

Question Type

Answer Box

Variables

Variable nameVariable value
question
Rodin makes a large sculpture in the shape of a cube. The total length of all of its edges is 72 metres. What is the area of one of the cube's faces?
workedSolution
Total edges of a cube = 12 sm_nogap Length of 1 edge >>= 72 ÷ 12 >>= 6 metres
sm_nogap $\therefore$ Area of one face >> = 6 × 6 >> = {{{correctAnswer0}}} {{{suffix0}}}
correctAnswer0
36
prefix0
suffix0
m$^2$

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

m2^2

Variant 1

DifficultyLevel

707

Question

Dwayne cuts a sandstone block in the shape of a cube.

The total length of all of its edges is 48 metres.

What is the area of one of the cube's faces?

Worked Solution

Total edges of a cube = 12

Length of 1 edge

= 48 ÷ 12

= 4 metres


∴\therefore Area of one face

= 4 × 4

= 16 m2^2

Question Type

Answer Box

Variables

Variable nameVariable value
question
Dwayne cuts a sandstone block in the shape of a cube. The total length of all of its edges is 48 metres. What is the area of one of the cube's faces?
workedSolution
Total edges of a cube = 12 sm_nogap Length of 1 edge >>= 48 ÷ 12 >>= 4 metres
sm_nogap $\therefore$ Area of one face >> = 4 × 4 >> = {{{correctAnswer0}}} {{{suffix0}}}
correctAnswer0
16
prefix0
suffix0
m$^2$

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
correctAnswer016

m2^2

Variant 2

DifficultyLevel

706

Question

Liv builds a climbing gym in the shape of a cube.

The total length of all of its edges is 24 metres.

What is the area of one of the cube's faces?

Worked Solution

Total edges of a cube = 12

Length of 1 edge

= 24 ÷ 12

= 2 metres


∴\therefore Area of one face

= 2 × 2

= 4 m2^2

Question Type

Answer Box

Variables

Variable nameVariable value
question
Liv builds a climbing gym in the shape of a cube. The total length of all of its edges is 24 metres. What is the area of one of the cube's faces?
workedSolution
Total edges of a cube = 12 sm_nogap Length of 1 edge >>= 24 ÷ 12 >>= 2 metres
sm_nogap $\therefore$ Area of one face >> = 2 × 2 >> = {{{correctAnswer0}}} {{{suffix0}}}
correctAnswer0
4
prefix0
suffix0
m$^2$

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
correctAnswer04

m2^2

Variant 3

DifficultyLevel

712

Question

Levy makes a birthday cake in the shape of a cube.

The total length of all of its edges is 180 centimetres.

What is the area of one of the cube's faces?

Worked Solution

Total edges of a cube = 12

Length of 1 edge

= 180 ÷ 12

= 15 centimetres


∴\therefore Area of one face

= 15 × 15

= 225 cm2^2

Question Type

Answer Box

Variables

Variable nameVariable value
question
Levy makes a birthday cake in the shape of a cube. The total length of all of its edges is 180 centimetres. What is the area of one of the cube's faces?
workedSolution
Total edges of a cube = 12 sm_nogap Length of 1 edge >>= 180 ÷ 12 >>= 15 centimetres
sm_nogap $\therefore$ Area of one face >> = 15 × 15 >> = {{{correctAnswer0}}} {{{suffix0}}}
correctAnswer0
225
prefix0
suffix0
cm$^2$

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

cm2^2

Variant 4

DifficultyLevel

714

Question

Mishy makes a Lego house in the shape of a cube.

The total length of all of its edges is 192 centimetres.

What is the area of one of the cube's faces?

Worked Solution

Total edges of a cube = 12

Length of 1 edge

= 192 ÷ 12

= 16 centimetres


∴\therefore Area of one face

= 16 × 16

= 256 cm2^2

Question Type

Answer Box

Variables

Variable nameVariable value
question
Mishy makes a Lego house in the shape of a cube. The total length of all of its edges is 192 centimetres. What is the area of one of the cube's faces?
workedSolution
Total edges of a cube = 12 sm_nogap Length of 1 edge >>= 192 ÷ 12 >>= 16 centimetres
sm_nogap $\therefore$ Area of one face >> = 16 × 16 >> = {{{correctAnswer0}}} {{{suffix0}}}
correctAnswer0
256
prefix0
suffix0
cm$^2$

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
correctAnswer0256

cm2^2

Variant 5

DifficultyLevel

722

Question

Anthony trims a hedge in the shape of a cube.

The total length of all of its edges is 9.60 metres.

What is the area of one of the cube's faces in square centimetres?

Worked Solution

Total edges of a cube = 12

Length of 1 edge

= 960 ÷ 12

= 80 centimetres


∴\therefore Area of one face

= 80 × 80

= 6400 cm2^2

Question Type

Answer Box

Variables

Variable nameVariable value
question
Anthony trims a hedge in the shape of a cube. The total length of all of its edges is 9.60 metres. What is the area of one of the cube's faces in square centimetres?
workedSolution
Total edges of a cube = 12 sm_nogap Length of 1 edge >>= 960 ÷ 12 >>= 80 centimetres
sm_nogap $\therefore$ Area of one face >> = 80 × 80 >> = {{{correctAnswer0}}} {{{suffix0}}}
correctAnswer0
6400
prefix0
suffix0
cm$^2$

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
correctAnswer06400

cm2^2

Tags

  • ms_ca