Final answer:
The volume of a square pyramid, and thereby the amount of sand needed, is calculated using the formula V = (1/3) × base area × height. Without specific measurements of the paperweight's base and height, we cannot provide a numerical answer.
Step-by-step explanation:
To find out how much sand the artist needs to fill a paperweight shaped as a square pyramid, we need to calculate the volume of the pyramid. The volume (V) of a square pyramid can be found using the formula V = (1/3) × base area × height.
Since we do not have the specific measurements for the base and height of the paperweight in question, we would need those values to proceed with the calculation. Once the volume is calculated, that will represent the amount of sand needed to fill the paperweight.
For example, if the base of the square pyramid is 4 cm by 4 cm, and the height is 6 cm, the volume would be calculated as follows:
V = (1/3) × (4 cm × 4 cm) × 6 cm = (1/3) × 16 cm² × 6 cm
V = (1/3) × 96 cm³
V = 32 cm³
So, the artist would need 32 cm³ of yellow sand to fill this paperweight.