A box measures 2 by 3 by 4 units. Every one of its dimensions is doubled. What is the new volume?

1. Multiplying a dimension by a constant changes both the surface area and the volume. 2. Work out the original volume first: 2 times 3 times 4 is 24 cubic units. 3. Doubling each dimension gives new lengths of 4, 6 and 8 units. 4. The new volume is 4 times 6, which is 24. 5. Multiply that by 8 to get 192 cubic units. 6. So doubling all three dimensions makes the volume eight times as large. 7. Answering 48 cubic units doubles the volume only once, as if a single dimension had changed. 8. Answering 96 cubic units doubles it twice, as if only two dimensions had changed. _Source: Siyavula Mathematics Grade 11 (Everything Maths, CC BY 4.0), Chapter 7: Measurement_