Measurement, NAPX-F4-NC29

Question

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Worked Solution

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Variant 0

DifficultyLevel

711

Question

A wheelchair ramp is pictured below.



The ramp is in the shape of a triangular prism?

What is the volume of the ramp?

Worked Solution
Volume = AhA\large h
= (12×7×0.4)×2\bigg( \dfrac{1}{2} \times 7 \times 0.4 \bigg) \times 2
= 1.4 ×\times 2
= 2.8 m3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A wheelchair ramp is pictured below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-NC29.svg 360 indent3 vpad
The ramp is in the shape of a triangular prism? What is the volume of the ramp?
workedSolution
||| |-|-| |Volume| = $A\large h$| ||= $\bigg( \dfrac{1}{2} \times 7 \times 0.4 \bigg) \times 2$| ||= 1.4 $\times$ 2| ||= {{{correctAnswer}}}|
correctAnswer
2.8 m$^3$

Answers

Is Correct?Answer
✓

2.8 m3^3

x

5.6 m3^3

x

0.28 m3^3

x

0.56 m3^3

Variant 1

DifficultyLevel

710

Question

A boat ramp is pictured below.



The ramp is in the shape of a triangular prism?

What is the volume of the ramp?

Worked Solution
Volume = AhA\large h
= (12×10×0.3)×5\bigg( \dfrac{1}{2} \times 10 \times 0.3 \bigg) \times 5
= 1.5 ×\times 5
= 7.5 m3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A boat ramp is pictured below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC29_v1.svg 550 vpad
The ramp is in the shape of a triangular prism? What is the volume of the ramp?
workedSolution
||| |-|-| |Volume| = $A\large h$| ||= $\bigg( \dfrac{1}{2} \times 10 \times 0.3 \bigg) \times 5$| ||= 1.5 $\times$ 5| ||= {{{correctAnswer}}}|
correctAnswer
7.5 m$^3$

Answers

Is Correct?Answer
x

4.5 m3^3

✓

7.5 m3^3

x

15 m3^3

x

15.3 m3^3

Variant 2

DifficultyLevel

708

Question

A large access ramp is pictured below.



The ramp is in the shape of a triangular prism?

What is the volume of the ramp?

Worked Solution
Volume = AhA\large h
= (12×3×0.7)×1.5\bigg( \dfrac{1}{2} \times 3 \times 0.7 \bigg) \times 1.5
= 1.05 ×\times 1.5
= 1.575 m3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A large access ramp is pictured below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC29_v2.svg 350 vpad
The ramp is in the shape of a triangular prism? What is the volume of the ramp?
workedSolution
||| |-|-| |Volume| = $A\large h$| ||= $\bigg( \dfrac{1}{2} \times 3 \times 0.7 \bigg) \times 1.5$| ||= 1.05 $\times$ 1.5| ||= {{{correctAnswer}}}|
correctAnswer
1.575 m$^3$

Answers

Is Correct?Answer
✓

1.575 m3^3

x

2.6 m3^3

x

3.15 m3^3

x

5.2 m3^3

Variant 3

DifficultyLevel

715

Question

An timber sleeper in the shape of a rectangular prism is to be cut into to 2 equal triangular prisms as pictured below.


What is the volume in cubic centimetres, of one of the triangular prism shaped pieces of timber?

Worked Solution

Using 1 m = 100 cm
Volume = AhA\large h
= (12×100×10)×20\bigg( \dfrac{1}{2} \times 100 \times 10 \bigg) \times 20
= 500 ×\times 20
= 10 000 cm3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
An timber sleeper in the shape of a rectangular prism is to be cut into to 2 equal triangular prisms as pictured below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC29_v3_a.svg 450 indent1 vpad
What is the volume in cubic centimetres, of one of the triangular prism shaped pieces of timber?
workedSolution
Using 1 m = 100 cm
||| |-|-| |Volume| = $A\large h$| ||= $\bigg( \dfrac{1}{2} \times 100 \times 10 \bigg) \times 20$| ||= 500 $\times$ 20| ||= {{{correctAnswer}}}|
correctAnswer
10 000 cm$^3$

Answers

Is Correct?Answer
x

100 cm3^3

x

200 cm3^3

x

5000 cm3^3

✓

10 000 cm3^3

Variant 4

DifficultyLevel

710

Question

An timber door wedge is pictured below.


The wedge is in the shape of a triangular prism?

What is the volume of the wedge in cubic centimetres?

Worked Solution

Using 1 cm = 10 mm
Volume = AhA\large h
= (12×10×3)×2.5\bigg( \dfrac{1}{2} \times 10 \times 3 \bigg) \times 2.5
= 15 ×\times 2.5
= 37.5 cm3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
An timber door wedge is pictured below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC29_v4.svg 600 indent vpad
The wedge is in the shape of a triangular prism? What is the volume of the wedge in cubic centimetres?
workedSolution
Using 1 cm = 10 mm
||| |-|-| |Volume| = $A\large h$| ||= $\bigg( \dfrac{1}{2} \times 10 \times 3 \bigg) \times 2.5$| ||= 15 $\times$ 2.5| ||= {{{correctAnswer}}}|
correctAnswer
37.5 cm$^3$

Answers

Is Correct?Answer
✓

37.5 cm3^3

x

750 cm3^3

x

1125 cm3^3

x

3750 cm3^3

Variant 5

DifficultyLevel

712

Question

A rubber access ramp is pictured below.


The access ramp is in the shape of a triangular prism?

What is the volume of the access ramp?

Worked Solution
Volume = AhA\large h
= (12×30×10)×90\bigg( \dfrac{1}{2} \times 30 \times 10 \bigg) \times 90
= 150 ×\times 90
= 13 500 cm3^3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A rubber access ramp is pictured below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC29_v_5.svg 400 indent3 vpad
The access ramp is in the shape of a triangular prism? What is the volume of the access ramp?
workedSolution
||| |-|-| |Volume| = $A\large h$| ||= $\bigg( \dfrac{1}{2} \times 30 \times 10 \bigg) \times 90$| ||= 150 $\times$ 90| ||= {{{correctAnswer}}}|
correctAnswer
13 500 cm$^3$

Answers

Is Correct?Answer
x

390 cm3^3

x

1200 cm3^3

✓

13 500 cm3^3

x

27 000 cm3^3

Tags

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