Question

Determine the density of a rectangular prism with the dimensions of 3.50 cm (height), 6.25 (width), and 2.10 (length) and a mass of 0.24kg.

Answer 1

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.