20309

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

624

Question

Squares with sides 5 cm are cut out from the corners of a rectangular piece of cardboard.

The sides are then folded to make a rectangular box with no lid.


What is the volume of the box?

Worked Solution
Volume = base area ×\times height
= (6 ×\times 2) ×\times 5
= 60 cm3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Squares with sides 5 cm are cut out from the corners of a rectangular piece of cardboard. The sides are then folded to make a rectangular box with no lid.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-H3-CA30.svg 710 indent vpad What is the volume of the box?
workedSolution
| | | | --------------------- | ------------------------------------------- | | Volume | \= base area $\times$ height | | | \= (6 $\times$ 2) $\times$ 5 | | | \= {{{correctAnswer}}} |
correctAnswer
60 cm$^3$

Answers

Is Correct?Answer
✓

60 cm3^3

x

72 cm3^3

x

96 cm3^3

x

120 cm3^3

Variant 1

DifficultyLevel

622

Question

Squares with sides 4 cm are cut out from the corners of a rectangular piece of cardboard.

The sides are then folded to make a rectangular box with no lid.


What is the volume of the box?

Worked Solution
Volume = base area ×\times height
= (12 ×\times 4) ×\times 4
= 192 cm3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Squares with sides 4 cm are cut out from the corners of a rectangular piece of cardboard. The sides are then folded to make a rectangular box with no lid.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20309_v1.svg 770 indent vpad What is the volume of the box?
workedSolution
| | | | --------------------- | ------------------------------------------- | | Volume | \= base area $\times$ height | | | \= (12 $\times$ 4) $\times$ 4 | | | \= {{{correctAnswer}}} |
correctAnswer
192 cm$^3$

Answers

Is Correct?Answer
x

48 cm3^3

✓

192 cm3^3

x

240 cm3^3

x

512 cm3^3

Variant 2

DifficultyLevel

620

Question

Squares with sides 3 cm are cut out from the corners of a rectangular piece of cardboard.

The sides are then folded to make a rectangular box with no lid.


What is the volume of the box?

Worked Solution
Volume = base area ×\times height
= (10 ×\times 5) ×\times 3
= 150 cm3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Squares with sides 3 cm are cut out from the corners of a rectangular piece of cardboard. The sides are then folded to make a rectangular box with no lid.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20309_v2_d.svg 770 indent vpad What is the volume of the box?
workedSolution
| | | | --------------------- | ------------------------------------------- | | Volume | \= base area $\times$ height | | | \= (10 $\times$ 5) $\times$ 3 | | | \= {{{correctAnswer}}} |
correctAnswer
150 cm$^3$

Answers

Is Correct?Answer
x

50 cm3^3

x

104 cm3^3

✓

150 cm3^3

x

240 cm3^3

Variant 3

DifficultyLevel

618

Question

Squares with sides 6 cm are cut out from the corners of a rectangular piece of cardboard.

The sides are then folded to make a rectangular box with no lid.


What is the volume of the box?

Worked Solution
Volume = base area ×\times height
= (9 ×\times 21) ×\times 6
= 1134 cm3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Squares with sides 6 cm are cut out from the corners of a rectangular piece of cardboard. The sides are then folded to make a rectangular box with no lid.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20309_v3.svg 600 indent vpad What is the volume of the box?
workedSolution
| | | | --------------------- | ------------------------------------------- | | Volume | \= base area $\times$ height | | | \= (9 $\times$ 21) $\times$ 6 | | | \= {{{correctAnswer}}} |
correctAnswer
1134 cm$^3$

Answers

Is Correct?Answer
x

693 cm3^3

✓

1134 cm3^3

x

2430 cm3^3

x

4158 cm3^3

Variant 4

DifficultyLevel

614

Question

Squares with sides 4 cm are cut out from the corners of a rectangular piece of cardboard.

The sides are then folded to make a rectangular box with no lid.


What is the volume of the box?

Worked Solution
Volume = base area ×\times height
= (5 ×\times 7) ×\times 4
= 140 cm3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Squares with sides 4 cm are cut out from the corners of a rectangular piece of cardboard. The sides are then folded to make a rectangular box with no lid.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20309_v4.svg 600 indent vpad What is the volume of the box?
workedSolution
| | | | --------------------- | ------------------------------------------- | | Volume | \= base area $\times$ height | | | \= (5 $\times$ 7) $\times$ 4 | | | \= {{{correctAnswer}}} |
correctAnswer
140 cm$^3$

Answers

Is Correct?Answer
x

780 cm3^3

x

195 cm3^3

✓

140 cm3^3

x

35 cm3^3

Variant 5

DifficultyLevel

612

Question

Squares with sides 10 cm are cut out from the corners of a rectangular piece of cardboard.

The sides are then folded to make a rectangular box with no lid.


What is the volume of the box?

Worked Solution
Volume = base area ×\times height
= (15 ×\times 9) ×\times 10
= 1350 cm3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Squares with sides 10 cm are cut out from the corners of a rectangular piece of cardboard. The sides are then folded to make a rectangular box with no lid.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20309_v5.svg 600 indent vpad What is the volume of the box?
workedSolution
| | | | --------------------- | ------------------------------------------- | | Volume | \= base area $\times$ height | | | \= (15 $\times$ 9) $\times$ 10 | | | \= {{{correctAnswer}}} |
correctAnswer
1350 cm$^3$

Answers

Is Correct?Answer
x

135 cm3^3

x

475 cm3^3

x

1015 cm3^3

✓

1350 cm3^3

Tags

  • ms_ca