Solids, Liquids and Gases
4 marks · EasyA rectangular metal bar has a length of 10 cm, a width of 2 cm and a height of 5 cm. Its mass is 1.0 kg.
Calculate the volume of the metal bar. Give your answer in cm³.
Calculate the density of the metal. Give your answer in kg/m³.
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) 100 cm³
(b) 1.0 × 10⁴ kg/m³
Show mark scheme and worked solution
Marking points
M1 (a) · 1 mark · Correct calculation of volume (length × width × height = 10 × 2 × 5).
M2 (b) · 1 mark · Convert 100 cm³ to m³ (100 × 10⁻⁶ = 0.0001 m³). (follow-through)
M3 (b) · 1 mark · Use density = mass / volume with correct values. (follow-through)
A1 (b) · 1 mark · Final answer with correct unit (kg/m³). (follow-through)
Worked solution
a) Volume = length × width × height = 10 cm × 2 cm × 5 cm = 100 cm³.
b) Convert volume to m³: 100 cm³ = 100 × 10⁻⁶ m³ = 0.0001 m³.
Density = 1.0 kg / 0.0001 m³ = 10,000 kg/m³.