Final answer:
The mass of the ornament can be calculated by multiplying its volume by the density of mahogany (0.71 g/cm³). The volume of the ornament, shaped like a triangular prism, needs to be known to perform this calculation.
Step-by-step explanation:
The question involves calculating the mass of an ornament made from mahogany using its density and the volume of the ornament. Since density is defined as mass per unit volume, the calculation of mass is straightforward if you know both the density and the volume of a material. To calculate the mass of the ornament (m), you would use the formula:
m = density × volume
However, the volume of the ornament is not directly given in the question. Assuming you can find the volume of the triangular prism-shaped ornament, you would then multiply this volume by the density of mahogany (0.71 g/cm3) to find the mass. For example, if the ornament had a volume of 100 cm3, the mass would be:
m = 0.71 g/cm3 × 100 cm3 = 71 grams
This is an example calculation, and the actual volume of the ornament would be needed to determine the actual mass.