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

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

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

Maths

In this unit pupils will explain what volume is using a range of contexts and describe the units used to measure volume. They will explain how to calculate the volume of a cuboid and explain what a cube number is. In the future unit pupils will explain the use of the commutative and distributive laws when multiplying three or more numbers. 

In the prior unit pupils calculated the area of a rectangle using multiplication and used their knowledge of area to solve problems. In this unit pupils will explain what volume is using a range of contexts and describe the units used to measure volume. They will explain how to calculate the volume of a cuboid.

Understand the concept of volume

Look at the image of the compound shape. What is the missing length? {{ }} cm

Which of these expressions would result in a volume of 60 cm$$^£$$ ?

Complete the missing dimension to make this correct: 7 cm × {{ }} cm × 4 cm = 84 cm$$^3$$

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? 

What is the volume of this cuboid? {{ }} cm$$^3$$

Look at this compound rectilinear shape. What is the size of missing side marked a? {{ }} cm

Look at this compound rectilinear shape. What is the size of missing side marked b? {{ }} cm

Calculate the volume of this compound cuboid. {{ }} cm$$^3$$

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