New
New
Year 5

Use knowledge of calculating volume to solve problems in a range of contexts

I can use knowledge of calculating volume to solve problems in different contexts.

New
New
Year 5

Use knowledge of calculating volume to solve problems in a range of contexts

I can use knowledge of calculating volume to solve problems in different contexts.

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Lesson details

Key learning points

  1. Missing dimensions can be deduced from other known dimensions.
  2. Where the volume is known, multiplication or division can be used to find an unknown dimension.
  3. Unknown dimension problems can be applied to different contexts.

Common misconception

Pupils cannot visualise how to calculate the unknown dimensions on the compound shape.

Spend time encouraging pupils to note down 'what they know' onto each shape. Allowing pupils to manipulate the shape with concrete apparatus and to run their finger along the edges of the shape will help visualise what is known and unknown.

Keywords

  • Deduce - If we use existing facts and logic to help find new facts, we can say that we have deduced the new fact.

  • Dimension - A dimension is the measurement of an edge in one direction. For example: length, width or height of a 3D shape are dimensions.

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Video

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6 Questions

Q1.
What is the volume of this cuboid? cm$$^3$$
An image in a quiz
Correct Answer: 308
Q2.
What is the volume of this cuboid? cm$$^3$$
An image in a quiz
Correct Answer: 324
Q3.
Look at this compound rectilinear shape. What is the size of missing side marked a? cm
An image in a quiz
Correct Answer: 7
Q4.
Look at this compound rectilinear shape. What is the size of missing side marked b? cm
An image in a quiz
Correct Answer: 7
Q5.
Look at this compound rectilinear shape. What is the size of missing side marked b? cm
An image in a quiz
Correct Answer: 11, eleven, 11cm
Q6.
Calculate the volume of this compound cuboid. cm$$^3$$
An image in a quiz
Correct Answer: 68

6 Questions

Q1.
Look at the image of the compound shape. What is the missing length? cm
An image in a quiz
Correct Answer: 5, five
Q2.
Look at the image of the compound shape. What is the missing length? cm
An image in a quiz
Correct Answer: 9, nine
Q3.
Look at the image of the compound shape. What is the missing length? cm
An image in a quiz
Correct Answer: 11, eleven
Q4.
Which of these expressions would result in a volume of 60 cm$$^£$$ ?
Correct answer: 10 × 3 × 2
10 × 20 × 30
Correct answer: 3 × 5 × 4
Correct answer: 1 × 12 × 5
11 × 5 × 5
Q5.
Complete the missing dimension to make this correct: 7 cm × cm × 4 cm = 84 cm$$^3$$
Correct Answer: 3, 3 cm, 3cm
Q6.
Andeep has 54 m$$^3$$ of sand to fill a sandpit. He knows that the sandpit is 3 m deep. What might the width and the length of the sandpit be?
50 and 4
Correct answer: 6 and 3
Correct answer: 2 and 9
3 and 18