30059

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

667

Question

A rectangular garden bed is 7 metres long by 4 metres wide.

The garden bed is filled with soil to a height of 50 centimetres.



How many cubic metres of soil are needed to fill the garden bed?

Worked Solution

50 cm = 0.5 metre
∴\therefore Soil needed = 7 × 4×0.5\times\ 4 \times 0.5
= 14 m3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A rectangular garden bed is 7 metres long by 4 metres wide. The garden bed is filled with soil to a height of 50 centimetres.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/01/nap-L4-23-ver1.svg 400 indent3 vpad
How many cubic metres of soil are needed to fill the garden bed?
workedSolution
50 cm = 0.5 metre
||| |-|-| |$\therefore$ Soil needed|= 7 $\times\ 4 \times 0.5$| ||= {{{correctAnswer}}}|
correctAnswer
14 m$^3$

Answers

Is Correct?Answer
x

11 m3^3

✓

14 m3^3

x

22 m3^3

x

1400 m3^3

Variant 1

DifficultyLevel

652

Question

A square garden bed has a side length of 6 metres.

The garden bed is filled with soil to a height of 50 centimetres.

How many cubic metres of soil are needed to fill the garden bed?

Worked Solution

50 cm = 0.5 metre
∴\therefore Soil needed = 6 × 6×0.5\times\ 6 \times 0.5
= 18 m3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A square garden bed has a side length of 6 metres. The garden bed is filled with soil to a height of 50 centimetres. How many cubic metres of soil are needed to fill the garden bed?
workedSolution
50 cm = 0.5 metre
||| |-|-| |$\therefore$ Soil needed|= 6 $\times\ 6 \times 0.5$| ||= {{{correctAnswer}}}|
correctAnswer
18 m$^3$

Answers

Is Correct?Answer
x

12 m3^3

✓

18 m3^3

x

24 m3^3

x

1800 m3^3

Variant 2

DifficultyLevel

646

Question

A rectangular cement deck is 3 metres wide by 4 metres long.

The cement deck has a depth of 25 centimetres.

How many cubic metres of cement were needed to make the cement deck?

Worked Solution

25 cm = 0.25 metre
∴\therefore Cement needed = 3 × 4×0.25\times\ 4 \times 0.25
= 3 m3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A rectangular cement deck is 3 metres wide by 4 metres long. The cement deck has a depth of 25 centimetres. How many cubic metres of cement were needed to make the cement deck?
workedSolution
25 cm = 0.25 metre
||| |-|-| |$\therefore$ Cement needed|= 3 $\times\ 4 \times 0.25$| ||= {{{correctAnswer}}}|
correctAnswer
3 m$^3$

Answers

Is Correct?Answer
✓

3 m3^3

x

7 m3^3

x

7.25 m3^3

x

300 m3^3

Variant 3

DifficultyLevel

642

Question

A rectangular path has been dug into the ground that is 10 metres long and 2 metres wide.

The path is 25 centimetres deep.

How many cubic metres of cement need to be poured to create the path?

Worked Solution

25 cm = 0.25 metre
∴\therefore Cement needed = 10 × 2×0.25\times\ 2 \times 0.25
= 5 m3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A rectangular path has been dug into the ground that is 10 metres long and 2 metres wide. The path is 25 centimetres deep. How many cubic metres of cement need to be poured to create the path?
workedSolution
25 cm = 0.25 metre
||| |-|-| |$\therefore$ Cement needed|= 10 $\times\ 2 \times 0.25$| ||= {{{correctAnswer}}}|
correctAnswer
5 m$^3$

Answers

Is Correct?Answer
✓

5 m3^3

x

12 m3^3

x

25 m3^3

x

500 m3^3

Variant 4

DifficultyLevel

656

Question

The rectangular base of a large sculpture is 10 metres long and 3 metres wide.

The base is made of steel and has a height of 30 centimetres.

How many cubic metres of steel are needed to make the base of the sculpture?

Worked Solution

30 cm = 0.3 metre
∴\therefore Cement needed = 10 × 3×0.3\times\ 3 \times 0.3
= 9 m3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The rectangular base of a large sculpture is 10 metres long and 3 metres wide. The base is made of steel and has a height of 30 centimetres. How many cubic metres of steel are needed to make the base of the sculpture?
workedSolution
30 cm = 0.3 metre
||| |-|-| |$\therefore$ Cement needed|= 10 $\times\ 3 \times 0.3$| ||= {{{correctAnswer}}}|
correctAnswer
9 m$^3$

Answers

Is Correct?Answer
✓

9 m3^3

x

13 m3^3

x

27 m3^3

x

900 m3^3

Variant 5

DifficultyLevel

647

Question

The rectangular base of a crane is 4 metres long and 5 metres wide.

The base is made of iron and has a height of 60 centimetres.

How many cubic metres of iron are needed to make the base of the crane?

Worked Solution

60 cm = 0.6 metre
∴\therefore Cement needed = 5 × 4×0.6\times\ 4 \times 0.6
= 12 m3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The rectangular base of a crane is 4 metres long and 5 metres wide. The base is made of iron and has a height of 60 centimetres. How many cubic metres of iron are needed to make the base of the crane?
workedSolution
60 cm = 0.6 metre
||| |-|-| |$\therefore$ Cement needed|= 5 $\times\ 4 \times 0.6$| ||= {{{correctAnswer}}}|
correctAnswer
12 m$^3$

Answers

Is Correct?Answer
x

9 m3^3

✓

12 m3^3

x

54 m3^3

x

120 m3^3

Tags