The properties of a rectangular prism are listed below: Density = 120 g/cm3 Length = 4 cm Width = 2 cm Height = 1 cm What is the mass of the rectangular prism? 15 g 45 g 960 g 980 g
The Correct Answer and Explanation is:
To find the mass of a rectangular prism, we use the formula:
Mass = Density × Volume
Step 1: Find the volume of the rectangular prism
The volume (V) of a rectangular prism is calculated as:
V = Length × Width × Height
V = 4 cm × 2 cm × 1 cm = 8 cm³
Step 2: Use the given density to find mass
We are told the density is 120 g/cm³. So we plug the values into the mass formula:
Mass = 120 g/cm³ × 8 cm³ = 960 g
Final Answer:
960 g
Explanation:
Density is a property that tells us how much mass is packed into a certain volume. It is usually expressed in grams per cubic centimeter (g/cm³) when using metric units. In this problem, the prism has a high density of 120 g/cm³, meaning that every single cubic centimeter of the material weighs 120 grams.
We first determine the volume by multiplying the three dimensions. Since the prism has a length of 4 cm, a width of 2 cm, and a height of 1 cm, it occupies a total volume of 8 cm³. Volume is simply how much three-dimensional space the prism takes up.
Once we know how much space the prism occupies, we multiply this volume by the density to find the mass. Because each cubic centimeter weighs 120 grams, 8 cubic centimeters will weigh 8 × 120, which equals 960 grams.
This is how we conclude that the mass of the prism is 960 grams. Among the answer choices, the correct one is:
✅ 960 g
