A cube of calcium carbonate has six square faces. The dimensions of this large cube are 3 mm×3 mm×3 mm3\text{ mm} \times 3\text{ mm} \times 3\text{ mm}3 mm×3 mm×3 mm.
This large cube is then divided into 27 smaller cubes, each with dimensions 1 mm×1 mm×1 mm1\text{ mm} \times 1\text{ mm} \times 1\text{ mm}1 mm×1 mm×1 mm.
Calculate:
The total surface area of the original large cube.
The total surface area of the 27 smaller cubes combined.
The ratio of the combined surface area of the 27 smaller cubes to the surface area of the original large cube.
3 exam-style questions on AQA GCSE Chemistry 2.4 Bulk and surface properties of matter including nanoparticles, covering 2.4.1 Sizes of particles and their properties and 2.4.2 Uses of nanoparticles. Each one has a worked solution and a mark scheme showing where the marks go.