Final answer:
To determine the volume of a fluid with a mass density of 1,715 kg/m³ that weighs 100 pounds, one must convert the weight into kilograms and then use the formula for volume (V = m / ρ). The calculation reveals that 0.02644 cubic meters of this fluid would weigh 100 pounds on Earth.
Step-by-step explanation:
First, we need to convert the weight from pounds to kilograms, as the mass density is given in kilograms per cubic meter (kg/m³).
On Earth, 100 pounds is equivalent to approximately 45.3592 kilograms.
The formula to find volume when mass and density are given is V = m / ρ, where V is volume, m is mass, and ρ (rho) is density.
Using the provided density of the fluid, 1,715 kg/m³:
V = m / ρ
= 45.3592 kg / 1715 kg/m^3
V ≈ 0.02644 m³
So, 0.02644 cubic meters of this fluid would weigh 100 pounds on Earth.