Final answer:
The volume of the gold block is calculated by multiplying its dimensions: 3cm by 2cm by 1cm, resulting in a volume of 6 cubic centimeters (6 cm³).
Step-by-step explanation:
To calculate the volume of a block of gold with a length of 3cm, a width of 2cm, and a height of 1cm, the formula for volume – length × width × height – is used. Multiplying the given dimensions:
- Length: 3cm
- Width: 2cm
- Height: 1cm
Volume = 3cm × 2cm × 1cm = 6 cm³.
This is the volume of the block of gold in cubic centimeters. When considering the density of gold, which is 19.3 g/cm³, the mass of the block can be calculated if needed by multiplying the volume by the density. This method is also useful for other quantitative measurements related to solids.