Final answer:
The density of the rectangular prism with given dimensions is calculated by first determining its volume and then dividing the mass by this volume, which results in approximately 5.26 g/cm³.
Step-by-step explanation:
Determining the Density of a Rectangular Prism
To find the density of a rectangular prism, we need to calculate its volume and then divide the mass by this volume. The volume of a rectangular prism can be determined by multiplying its height, width, and length.
Volume = Height × Width × Length
= 3.50 cm × 6.25 cm × 2.10 cm
= 45.625 cm³
Since the mass of the prism is given in kilograms, we should convert it to grams because the volume is in cubic centimeters. 1 kg = 1000 g,
so 0.24 kg = 240 g.
Density = Mass / Volume
= 240 g / 45.625 cm³
= 5.26 g/cm³ (approx.)
This is the density of the rectangular prism.