Measurement, NAPX-I3-CA25

Question

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Worked Solution

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Variant 0

DifficultyLevel

684

Question

The rectangular prism, pictured below, has a volume of 19 000 cm³ and a height of 25 cm.



What could be the length and width of the prism?

Worked Solution
VV = l\large l × w\times\ \large w × h\times\ \large h
19 000 = l\large l × w\times\ \large w × 25\times\ 25
760 = l\large l × w\times\ \large w
= 40 ×\times 19 ✓\checkmark (check options)

∴\therefore 40 cm × 19 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The rectangular prism, pictured below, has a volume of 19 000 cm³ and a height of 25 cm.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-I3-CA252.svg 240 indent3 vpad
What could be the length and width of the prism?
workedSolution
| | | | --------------------: | -------------- | | $V$ | \= $\large l$ $\times\ \large w$ $\times\ \large h$| | 19 000 | \= $\large l$ $\times\ \large w$ $\times\ 25$| | 760| \= $\large l$ $\times\ \large w$| || \= 40 $\times$ 19 $\checkmark$ (check options)|

$\therefore$ {{{correctAnswer}}}
correctAnswer
40 cm × 19 cm

Answers

Is Correct?Answer
✓

40 cm × 19 cm

x

30 cm × 25 cm

x

20 cm × 29 cm

x

40 cm × 12 cm

Variant 1

DifficultyLevel

684

Question

The rectangular prism, pictured below, has a volume of 13 056 cm³ and a height of 32 cm.



What could be the length and width of the prism?

Worked Solution
VV = l\large l × w\times\ \large w × h\times\ \large h
13 056 = l\large l × w\times\ \large w × 32\times\ 32
408 = l\large l × w\times\ \large w
= 24 ×\times 17 ✓\checkmark (check options)

∴\therefore 24 cm × 17 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The rectangular prism, pictured below, has a volume of 13 056 cm³ and a height of 32 cm.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA25_v1.svg 300 indent3 vpad
What could be the length and width of the prism?
workedSolution
| | | | --------------------: | -------------- | | $V$ | \= $\large l$ $\times\ \large w$ $\times\ \large h$| | 13 056 | \= $\large l$ $\times\ \large w$ $\times\ 32$| | 408| \= $\large l$ $\times\ \large w$| || \= 24 $\times$ 17 $\checkmark$ (check options)|

$\therefore$ {{{correctAnswer}}}
correctAnswer
24 cm × 17 cm

Answers

Is Correct?Answer
x

23 cm × 18 cm

✓

24 cm × 17 cm

x

22 cm × 19 cm

x

25 cm × 16 cm

Variant 2

DifficultyLevel

684

Question

The rectangular prism, pictured below, has a volume of 6555 cm³ and a length of 23 cm.



What could be the height and width of the prism?

Worked Solution
VV = l\large l × w\times\ \large w × h\times\ \large h
6555 = 23 × w\times\ \large w ×h\times\large h
285 = w\large w × h\times\ \large h
= 19 ×\times 15 ✓\checkmark (check options)

∴\therefore 19 cm × 15 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The rectangular prism, pictured below, has a volume of 6555 cm³ and a length of 23 cm.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA25_v2.svg 260 indent3 vpad
What could be the height and width of the prism?
workedSolution
| | | | --------------------: | -------------- | | $V$ | \= $\large l$ $\times\ \large w$ $\times\ \large h$| | 6555 | \= 23 $\times\ \large w$ $\times\large h$| | 285| \= $\large w$ $\times\ \large h$| || \= 19 $\times$ 15 $\checkmark$ (check options)|

$\therefore$ {{{correctAnswer}}}
correctAnswer
19 cm × 15 cm

Answers

Is Correct?Answer
x

17 cm × 16 cm

x

18 cm × 16 cm

✓

19 cm × 15 cm

x

20 cm × 15 cm

Variant 3

DifficultyLevel

684

Question

The rectangular prism, pictured below, has a volume of 56 848 m³ and a height of 22 m.



What could be the length and width of the prism?

Worked Solution
VV = l\large l × w\times\ \large w × h\times\ \large h
56 848 = l\large l × w\times\ \large w × 22\times\ 22
2584 = l\large l × w\times\ \large w
= 65 ×\times 38 ✓\checkmark (check options)

∴\therefore 68 m × 38 m

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The rectangular prism, pictured below, has a volume of 56 848 m³ and a height of 22 m.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA25_v3.svg 420 indent3 vpad
What could be the length and width of the prism?
workedSolution
| | | | --------------------: | -------------- | | $V$ | \= $\large l$ $\times\ \large w$ $\times\ \large h$| | 56 848 | \= $\large l$ $\times\ \large w$ $\times\ 22$| | 2584| \= $\large l$ $\times\ \large w$| || \= 65 $\times$ 38 $\checkmark$ (check options)|

$\therefore$ {{{correctAnswer}}}
correctAnswer
68 m × 38 m

Answers

Is Correct?Answer
x

60 m × 43 m

x

62 m × 42 m

x

65 m × 41 m

✓

68 m × 38 m

Variant 4

DifficultyLevel

682

Question

The rectangular prism, pictured below, has a volume of 1200 m³ and a length of 10 m.



What could be the width and height of the prism?

Worked Solution
VV = l\large l × w\times\ \large w × h\times\ \large h
1200 = 10 × w\times\ \large w × h\times\ \large h
120 = w\large w × h\times\ \large h
= 8 ×\times 15 ✓\checkmark (check options)

∴\therefore 8 m × 15 m

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The rectangular prism, pictured below, has a volume of 1200 m³ and a length of 10 m.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA25_v4.svg 250 indent3 vpad
What could be the width and height of the prism?
workedSolution
| | | | --------------------: | -------------- | | $V$ | \= $\large l$ $\times\ \large w$ $\times\ \large h$| | 1200 | \= 10 $\times\ \large w$ $\times\ \large h$| | 120| \= $\large w$ $\times\ \large h$| || \= 8 $\times$ 15 $\checkmark$ (check options)|

$\therefore$ {{{correctAnswer}}}
correctAnswer
8 m × 15 m

Answers

Is Correct?Answer
x

6 m × 25 m

✓

8 m × 15 m

x

10 m × 120 m

x

15 m × 80 m

Variant 5

DifficultyLevel

680

Question

The rectangular prism, pictured below, has a volume of 392 mm³ and a length of 14 mm.



What could be the width and height of the prism?

Worked Solution
VV = l\large l × w\times\ \large w × h\times\ \large h
392 = 14 × w\times\ \large w × h\times\ \large h
28 = w\large w × h\times\ \large h
= 7 ×\times 4 ✓\checkmark (check options)

∴\therefore 7 mm × 4 mm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The rectangular prism, pictured below, has a volume of 392 mm³ and a length of 14 mm.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA25_v5.svg 370 indent3 vpad
What could be the width and height of the prism?
workedSolution
| | | | --------------------: | -------------- | | $V$ | \= $\large l$ $\times\ \large w$ $\times\ \large h$| | 392 | \= 14 $\times\ \large w$ $\times\ \large h$| | 28| \= $\large w$ $\times\ \large h$| || \= 7 $\times$ 4 $\checkmark$ (check options)|

$\therefore$ {{{correctAnswer}}}
correctAnswer
7 mm × 4 mm

Answers

Is Correct?Answer
✓

7 mm × 4 mm

x

7 mm × 56 mm

x

8 mm × 49 mm

x

9 mm × 3 mm

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