50026

Question

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Worked Solution

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Variant 0

DifficultyLevel

499

Question

There are six cubes in this 3D puzzle.



The puzzle is completely dipped into blue paint.

When the cubes are separated, how many faces will be blue?

Worked Solution

The number of blue faces on each cube is:


Total faces blue

= 5 + 5 + 3 + 4 + 4 + 5
= 26

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
There are six cubes in this 3D puzzle.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-F3-CA03_1.svg 170 indent3 vpad
The puzzle is completely dipped into blue paint. When the cubes are separated, how many faces will be blue?
workedSolution
The number of blue faces on each cube is:
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-F3-CA03-Answer1.svg 170 indent3
sm_nogap Total faces blue > > \= 5 + 5 + 3 + 4 + 4 + 5\ > > = 26
correctAnswer
26

Answers

Is Correct?Answer
x

36

x

31

✓

26

x

21

Variant 1

DifficultyLevel

504

Question

There are eight cubes in this 3D puzzle.



The puzzle is completely dipped into red paint.

When the cubes are separated, how many faces will be red?

Worked Solution

The number of red faces on each cube is:



Total faces red

= 5 + 3 + 5 + 4 + 4 + 4 + 4 + 3
= 32

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
There are eight cubes in this 3D puzzle.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_50026_v1q2.svg 230 indent3 vpad
The puzzle is completely dipped into red paint. When the cubes are separated, how many faces will be red?
workedSolution
The number of red faces on each cube is:
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_50026_v1ws.svg 230 indent3
sm_nogap Total faces red > > \= 5 + 3 + 5 + 4 + 4 + 4 + 4 + 3 \ > > = 32
correctAnswer
32

Answers

Is Correct?Answer
x

24

✓

32

x

42

x

48

Variant 2

DifficultyLevel

506

Question

There are seven cubes in this 3D puzzle.



The puzzle is completely dipped into red paint.

When the cubes are separated, how many faces will be red?

Worked Solution

The number of red faces on each cube is:


Total faces red

= 5 + 5 + 3 + 4 + 4 + 5 + 4
= 30

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
There are seven cubes in this 3D puzzle.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_50026_v2q1.svg 240 indent3 vpad
The puzzle is completely dipped into red paint. When the cubes are separated, how many faces will be red?
workedSolution
The number of red faces on each cube is:
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_50026_v2ws.svg 240 indent3
sm_nogap Total faces red > > \= 5 + 5 + 3 + 4 + 4 + 5 + 4\ > > = 30
correctAnswer
30

Answers

Is Correct?Answer
✓

30

x

32

x

40

x

42

Variant 3

DifficultyLevel

501

Question

There are six cubes in this 3D puzzle.



The puzzle is completely dipped into red paint.

When the cubes are separated, how many faces will be red?

Worked Solution

The number of red faces on each cube is:


Total faces red

= 5 + 3 + 4 + 5 + 4 + 5
= 26

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
There are six cubes in this 3D puzzle.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_50026_v3q.svg 170 indent3 vpad
The puzzle is completely dipped into red paint. When the cubes are separated, how many faces will be red?
workedSolution
The number of red faces on each cube is:
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_50026_v3ws.svg 170 indent3
sm_nogap Total faces red > > \= 5 + 3 + 4 + 5 + 4 + 5\ > > = 26
correctAnswer
26

Answers

Is Correct?Answer
✓

26

x

30

x

35

x

40

Variant 4

DifficultyLevel

507

Question

There are nine cubes in this 3D puzzle.



The puzzle is completely dipped into red paint.

When the cubes are separated, how many faces will be red?

Worked Solution

The number of red faces on each cube is:


Total faces red

= 5 + 5 + 3 + 3 + 3 + 5 + 4 + 5 + 3
= 36

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
There are nine cubes in this 3D puzzle.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_50026_v4q.svg 230 indent3 vpad
The puzzle is completely dipped into red paint. When the cubes are separated, how many faces will be red?
workedSolution
The number of red faces on each cube is:
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_50026_v4ws.svg 240 indent3
sm_nogap Total faces red > > \= 5 + 5 + 3 + 3 + 3 + 5 + 4 + 5 + 3\ > > = 36
correctAnswer
36

Answers

Is Correct?Answer
x

18

x

24

x

30

✓

36

Variant 5

DifficultyLevel

518

Question

There are ten cubes in this 3D puzzle.



The puzzle is completely dipped into red paint.

When the cubes are separated, how many faces will be red?

Worked Solution

The number of red faces on each cube is:


Total faces red

= 5 + 4 + 5 + 3 + 3 + 3 + 3 + 4 + 3 + 5
= 38

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
There are ten cubes in this 3D puzzle.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_50026_v5qa_ws.svg 260 indent3 vpad
The puzzle is completely dipped into red paint. When the cubes are separated, how many faces will be red?
workedSolution
The number of red faces on each cube is:
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_50026_v5qa.svg 260 indent3
sm_nogap Total faces red > > \= 5 + 4 + 5 + 3 + 3 + 3 + 3 + 4 + 3 + 5 \ > > = 38
correctAnswer
38

Answers

Is Correct?Answer
x

20

✓

38

x

42

x

60

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