Geometry, NAPX-p109101v02

Question

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Worked Solution

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Variant 0

DifficultyLevel

494

Question

Troy built a solid figure using cubes.

He paints all the outer sides red, including the base, and then separates the cubes.

How many faces are painted red?

Worked Solution

Number of faces painted red (top down, back to front)

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

= 30

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Troy built a solid figure using cubes. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH10-q38.svg 120 indent vpad He paints all the outer sides red, including the base, and then separates the cubes. How many faces are painted red?
workedSolution
Number of faces painted red (top down, back to front) >>= 5 + 5 + 3 + 5 + 4 + 4 + 4 >>= 30
correctAnswer
30

Answers

Is Correct?Answer
x

24

✓

30

x

34

x

36

Variant 1

DifficultyLevel

491

Question

Sarah creates a solid figure using five cubes.

She paints all the outer sides lilac, including the base, and then separates the cubes.

How many faces are painted lilac?

Worked Solution

Number of faces painted lilac (top down, back to front)

= 5 + 4 + 4 + 4 + 5

= 22

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Sarah creates a solid figure using five cubes. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH10-q37.svg 120 indent vpad She paints all the outer sides lilac, including the base, and then separates the cubes. How many faces are painted lilac?
workedSolution
Number of faces painted lilac (top down, back to front) >>= 5 + 4 + 4 + 4 + 5 >>= 22
correctAnswer
22

Answers

Is Correct?Answer
x

18

✓

22

x

24

x

26

Variant 2

DifficultyLevel

501

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:

∴\therefore 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/2020/09/NAPX-F3-CA03_1.svg 160 indent 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 180 indent vpad sm_nogap $\therefore$ Total faces blue >>= 5 + 5 + 3 + 4 + 4 + 5 >>= 26
correctAnswer
26

Answers

Is Correct?Answer
x

36

x

31

x

28

✓

26

x

21

Tags

  • staging_suejones