Geometry, NAPX-p122209v02

Question

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Worked Solution

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Variant 0

DifficultyLevel

494

Question

Kwan uses some blocks to make a cube and a rectangular prism.



How many blocks does Kwan use altogether?

Worked Solution

Blocks in cube = 3 × 3 × 3 = 27

Blocks in rectangular prism = 2 × 3 × 3 = 18
∴\therefore Total blocks = 27 + 18
= 45

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Kwan uses some blocks to make a cube and a rectangular prism.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-K2-17v3.svg 300 indent3 vpad
How many blocks does Kwan use altogether?
workedSolution
Blocks in cube = 3 × 3 × 3 = 27 Blocks in rectangular prism = 2 × 3 × 3 = 18
||| |-|-| |$\therefore$ Total blocks|= 27 + 18| ||= 45|
correctAnswer
45

Answers

Is Correct?Answer
x

37

x

42

✓

45

x

48

Variant 1

DifficultyLevel

496

Question

Kelly uses some blocks to make the two prisms below.



How many blocks does Kelly use altogether?

Worked Solution

Blocks in cube = 3 × 3 × 3 = 27

Blocks in 2nd object (step) = 5 × 3 = 15
∴\therefore Total blocks = 27 + 15
= 42

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Kelly uses some blocks to make the two prisms below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-K2-17v2.svg 300 indent3 vpad
How many blocks does Kelly use altogether?
workedSolution
Blocks in cube = 3 × 3 × 3 = 27 Blocks in 2nd object (step) = 5 × 3 = 15
||| |-|-| |$\therefore$ Total blocks|= 27 + 15| ||= 42|
correctAnswer
42

Answers

Is Correct?Answer
x

27

x

35

✓

42

x

48

Variant 2

DifficultyLevel

498

Question

Faraji uses some blocks to make the two prisms below.



How many blocks does Faraji use altogether?

Worked Solution

Blocks in cube = 4 × 4 × 4 = 64

Blocks in 2nd object (step) = 8 × 3 = 24
∴\therefore Total blocks = 64 + 24
= 88

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Faraji uses some blocks to make the two prisms below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p122209v02_v2.svg 320 indent3 vpad
How many blocks does Faraji use altogether?
workedSolution
Blocks in cube = 4 × 4 × 4 = 64 Blocks in 2nd object (step) = 8 × 3 = 24
||| |-|-| |$\therefore$ Total blocks|= 64 + 24| ||= 88|
correctAnswer
88

Answers

Is Correct?Answer
x

32

x

40

x

72

✓

88

Variant 3

DifficultyLevel

500

Question

Taraji uses some blocks to make the two prisms below.



How many blocks does Taraji use altogether?

Worked Solution

Blocks in rectangular prism = 4 × 3 × 3 = 36

Blocks in prism (U-shaped) = 10 × 3 = 30
∴\therefore Total blocks = 36 + 30
= 66

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Taraji uses some blocks to make the two prisms below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p122209v02_v3q.svg 300 indent3 vpad
How many blocks does Taraji use altogether?
workedSolution
Blocks in rectangular prism = 4 × 3 × 3 = 36 Blocks in prism (U-shaped) = 10 × 3 = 30
||| |-|-| |$\therefore$ Total blocks|= 36 + 30| ||= 66|
correctAnswer
66

Answers

Is Correct?Answer
✓

66

x

60

x

44

x

38

Variant 4

DifficultyLevel

504

Question

Calista uses some blocks to make the two prisms below.



How many blocks does Calista use altogether?

Worked Solution

Blocks in first prism (E-shaped) = 8 × 4 = 32

Blocks in rectangular prism = 3 × 6 × 4 = 72
∴\therefore Total blocks = 32 + 72
= 104

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Calista uses some blocks to make the two prisms below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p122209v02_v4.svg 300 indent3 vpad
How many blocks does Calista use altogether?
workedSolution
Blocks in first prism (E-shaped) = 8 × 4 = 32 Blocks in rectangular prism = 3 × 6 × 4 = 72
||| |-|-| |$\therefore$ Total blocks|= 32 + 72| ||= 104|
correctAnswer
104

Answers

Is Correct?Answer
x

48

x

63

✓

104

x

112

Variant 5

DifficultyLevel

500

Question

Moses uses some blocks to make a cube and an F-shaped prism.



How many blocks does Moses use altogether?

Worked Solution

Blocks in cube = 3 × 3 × 3 = 27

Blocks in F-shaped prism = 15 × 2 = 30
∴\therefore Total blocks = 27 + 30
= 57

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Moses uses some blocks to make a cube and an F-shaped prism.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p122209v02_v5.svg 370 indent3 vpad
How many blocks does Moses use altogether?
workedSolution
Blocks in cube = 3 × 3 × 3 = 27 Blocks in F-shaped prism = 15 × 2 = 30
||| |-|-| |$\therefore$ Total blocks|= 27 + 30| ||= 57|
correctAnswer
57

Answers

Is Correct?Answer
x

24

x

30

x

40

✓

57

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