DENSITY AND PRESSURE

3 marks · Easy

(a)

How many cubic centimetres (cm³) are there in 1 m³?

[1 mark]

(b)

A wooden block has a volume of 600 cm³. Convert this volume to m³. Give your answer in standard form.

[2 marks]

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

Show answer

(a) 1000000 cm³

(b) 6.0 \times 10^{-4} m³

Also accept: 600 × 10^{-6} m³

Common mistakes: Forgetting to divide by 1 000 000; Incorrect use of standard form

Show mark scheme and worked solution

Marking points

A1 (a) · 1 mark · Correctly states 1 m³ = 1 000 000 cm³

M1 (b) · 1 mark · Divides 600 by 1 000 000 for conversion to m³

A2 (b) · 1 mark · Gives correct answer in standard form: 6.0 × 10⁻⁴ m³

Worked solution

a) 1 m³ = 1 000 000 cm³.

b) 600 cm³ × (1 m³ / 1 000 000 cm³) = 0.0006 m³ = 6.0 × 10⁻⁴ m³.