Measurement, NAPX9-TLF-CA37 SA v3

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

740

Question

A cube has a surface area of 150 square centimetres.

What is the volume of the cube?

Worked Solution

Cube has 6 faces.
Area of 1 face = 150 ÷ 6
= 25 cm2^2
Side length = 25\sqrt{25}
= 5 cm

∴\therefore Volume = 535^3
= 125 cm3^3

Question Type

Answer Box

Variables

Variable nameVariable value
question
A cube has a surface area of 150 square centimetres. What is the volume of the cube?
workedSolution
sm_nogap Cube has 6 faces.
||| |-|-| |Area of 1 face|= 150 ÷ 6| ||= 25 cm$^2$|
||| |-|-| |Side length|= $\sqrt{25}$| ||= 5 cm|

||| |-|-| |$\therefore$ Volume|= $5^3$| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
125
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
correctAnswer0125

cm3^3

Variant 1

DifficultyLevel

738

Question

A cube has a surface area of 294 square centimetres.

What is the volume of the cube?

Worked Solution

Cube has 6 faces.
Area of 1 face = 294 ÷ 6
= 49 cm2^2
Side length = 49\sqrt{49}
= 7 cm

∴\therefore Volume = 737^3
= 343 cm3^3

Question Type

Answer Box

Variables

Variable nameVariable value
question
A cube has a surface area of 294 square centimetres. What is the volume of the cube?
workedSolution
sm_nogap Cube has 6 faces.
||| |-|-| |Area of 1 face|= 294 ÷ 6| ||= 49 cm$^2$|
||| |-|-| |Side length|= $\sqrt{49}$| ||= 7 cm|

||| |-|-| |$\therefore$ Volume|= $7^3$| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
343
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
correctAnswer0343

cm3^3

Variant 2

DifficultyLevel

736

Question

A cube has a surface area of 600 square centimetres.

What is the volume of the cube?

Worked Solution

Cube has 6 faces.
Area of 1 face = 600 ÷ 6
= 100 cm2^2
Side length = 100\sqrt{100}
= 10 cm

∴\therefore Volume = 10310^3
= 1000 cm3^3

Question Type

Answer Box

Variables

Variable nameVariable value
question
A cube has a surface area of 600 square centimetres. What is the volume of the cube?
workedSolution
sm_nogap Cube has 6 faces.
||| |-|-| |Area of 1 face|= 600 ÷ 6| ||= 100 cm$^2$|
||| |-|-| |Side length|= $\sqrt{100}$| ||= 10 cm|

||| |-|-| |$\therefore$ Volume|= $10^3$| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
1000
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
correctAnswer01000

cm3^3

Variant 3

DifficultyLevel

734

Question

A cube has a surface area of 384 square centimetres.

What is the volume of the cube?

Worked Solution

Cube has 6 faces.
Area of 1 face = 384 ÷ 6
= 64 cm2^2
Side length = 64\sqrt{64}
= 8 cm

∴\therefore Volume = 838^3
= 512 cm3^3

Question Type

Answer Box

Variables

Variable nameVariable value
question
A cube has a surface area of 384 square centimetres. What is the volume of the cube?
workedSolution
sm_nogap Cube has 6 faces.
||| |-|-| |Area of 1 face|= 384 ÷ 6| ||= 64 cm$^2$|
||| |-|-| |Side length|= $\sqrt{64}$| ||= 8 cm|

||| |-|-| |$\therefore$ Volume|= $8^3$| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
512
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
correctAnswer0512

cm3^3

Variant 4

DifficultyLevel

732

Question

A cube has a surface area of 96 square centimetres.

What is the volume of the cube?

Worked Solution

Cube has 6 faces.
Area of 1 face = 96 ÷ 6
= 16 cm2^2
Side length = 16\sqrt{16}
= 4 cm

∴\therefore Volume = 434^3
= 64 cm3^3

Question Type

Answer Box

Variables

Variable nameVariable value
question
A cube has a surface area of 96 square centimetres. What is the volume of the cube?
workedSolution
sm_nogap Cube has 6 faces.
||| |-|-| |Area of 1 face|= 96 ÷ 6| ||= 16 cm$^2$|
||| |-|-| |Side length|= $\sqrt{16}$| ||= 4 cm|

||| |-|-| |$\therefore$ Volume|= $4^3$| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
64
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
correctAnswer064

cm3^3

Variant 5

DifficultyLevel

730

Question

A cube has a surface area of 54 square centimetres.

What is the volume of the cube?

Worked Solution

Cube has 6 faces.
Area of 1 face = 54 ÷ 6
= 9 cm2^2
Side length = 9\sqrt{9}
= 3 cm

∴\therefore Volume = 333^3
= 27 cm3^3

Question Type

Answer Box

Variables

Variable nameVariable value
question
A cube has a surface area of 54 square centimetres. What is the volume of the cube?
workedSolution
sm_nogap Cube has 6 faces.
||| |-|-| |Area of 1 face|= 54 ÷ 6| ||= 9 cm$^2$|
||| |-|-| |Side length|= $\sqrt{9}$| ||= 3 cm|

||| |-|-| |$\therefore$ Volume|= $3^3$| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
27
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
correctAnswer027

cm3^3

Tags

  • ms_ca