Edexcel IGCSE Math A 4.10.F metric volume conversions

Practise volume-unit questions by cubing the linear scale factor, then converting values such as cubic metres into cubic centimetres.

Exam points

Convert cubic metres to cubic centimetres using the cubed metric scale factor.
Apply the same conversion structure to decimal volume values such as 32.4 m³.

[Maximum number: 1]

The diagram shows a cuboid and a cylinder.

Figure for Question 4.10.F Between units of volume within the metric system question 1 — Edexcel IGCSE Math A Higher

Diagram NOT accurately drawn

The dimensions of the cuboid are $x \mathrm{~cm}$ by 12 cm by 5 cm .
The volume of the cuboid is $270 \mathrm{~cm}^{3}$
The radius of the cylinder is $x \mathrm{~cm}$ .
The height of the cylinder is $2 x \mathrm{~cm}$ .

Change $1 \mathrm{~m}^{3}$ to $\mathrm{cm}^{3}$

\mathrm{cm}^{3}

$1\text{ m}^{3}=(100\text{ cm})^{3}=1000000\text{ cm}^{3}$

Final answer:
1000000

Accept:
$10^{6}$
or one million.

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4.10.F Between units of volume within the metric system question 1