20360

Question

Concrete is poured to make a {{object}}.

The dimensions of the slab are shown in the diagram below.


{{image}}


If the concrete costs ${{cost}} per cubic metre to pour, what is the cost of the slab?

Worked Solution

{{convert}}
Volume poured = {{working1}}
= {{volume}} m3^3
∴\therefore Cost = {{volume}} ×\times {{cost}}
= {{{correctAnswer}}}

Variant 0

DifficultyLevel

597

Question

Concrete is poured to make a pathway.

The dimensions of the slab are shown in the diagram below.



If the concrete costs $180 per cubic metre to pour, what is the cost of the slab?

Worked Solution

30 cm = 0.3 metres
Volume poured = 8 ×\times 2 ×\times 0.3
= 4.8 m3^3
∴\therefore Cost = 4.8 ×\times 180
= $864

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
object
pathway
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/01/5var326_i.svg 380 indent3 vpad
cost
180
convert
30 cm = 0.3 metres
working1
8 $\times$ 2 $\times$ 0.3
volume
4.8
correctAnswer
\$864

Answers

Is Correct?Answer
✓

$864

x

$2880

x

$21 600

x

$86 400

Variant 1

DifficultyLevel

595

Question

Concrete is poured to make a driveway.

The dimensions of the slab are shown in the diagram below.



If the concrete costs $220 per cubic metre to pour, what is the cost of the slab?

Worked Solution

40 cm = 0.4 metres
Volume poured = 4 ×\times 5 ×\times 0.4
= 8 m3^3
∴\therefore Cost = 8 ×\times 220
= $1760

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
object
driveway
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/01/5var326_ii.svg 380 indent3 vpad
cost
220
convert
40 cm = 0.4 metres
working1
4 $\times$ 5 $\times$ 0.4
volume
8
correctAnswer
\$1760

Answers

Is Correct?Answer
✓

$1760

x

$4400

x

$44 000

x

$176 000

Variant 2

DifficultyLevel

597

Question

Concrete is poured to make a golf-cart pathway.

The dimensions of the slab are shown in the diagram below.



If the concrete costs $300 per cubic metre to pour, what is the cost of the slab?

Worked Solution

20 cm = 0.2 metres
Volume poured = 10 ×\times 2 ×\times 0.2
= 4 m3^3
∴\therefore Cost = 4 ×\times 300
= $1200

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
object
golf-cart pathway
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/01/5var326_iii.svg 370 indent3 vpad
cost
300
convert
20 cm = 0.2 metres
working1
10 $\times$ 2 $\times$ 0.2
volume
4
correctAnswer
\$1200

Answers

Is Correct?Answer
x

$600

✓

$1200

x

$6000

x

$120 000

Variant 3

DifficultyLevel

599

Question

Concrete is poured to make a swimming pool base.

The dimensions of the slab are shown in the diagram below.



If the concrete costs $210 per cubic metre to pour, what is the cost of the slab?

Worked Solution

60 cm = 0.6 metres
Volume poured = 8 ×\times 5 ×\times 0.6
= 24 m3^3
∴\therefore Cost = 24 ×\times 210
= $5040

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
object
swimming pool base
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/01/5var326_iv.svg 360 indent3 vpad
cost
210
convert
60 cm = 0.6 metres
working1
8 $\times$ 5 $\times$ 0.6
volume
24
correctAnswer
\$5040

Answers

Is Correct?Answer
✓

$5040

x

$8400

x

$84 000

x

$504 000

Variant 4

DifficultyLevel

601

Question

Concrete is poured to make a back deck.

The dimensions of the slab are shown in the diagram below.



If the concrete costs $240 per cubic metre to pour, what is the cost of the slab?

Worked Solution

15 cm = 0.15 metres
Volume poured = 4 ×\times 7 ×\times 0.15
= 4.2 m3^3
∴\therefore Cost = 4.2 ×\times 240
= $1008

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
object
back deck
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/01/5var326_v.svg 370 indent3 vpad
cost
240
convert
15 cm = 0.15 metres
working1
4 $\times$ 7 $\times$ 0.15
volume
4.2
correctAnswer
\$1008

Answers

Is Correct?Answer
✓

$1008

x

$6720

x

$25 200

x

$100 800

Tags

  • ms_ca