Question

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

Answer 1

First calculate the volume of the rectangular prism by multiplying its length, width and height. The volume of the prism is 8 cm^3. Since density is known to be mass over volume, just multiply the given density with the volume. The mass of the prism then is 960 grams.

and Since density is the ratio of the substance's mass to its volume,
Density = Mass/Volume
Mass = Density*Volume

The volume of a rectangular prism is:
V = LWH = 4×2×1 = 8 cm³

Mass = (120 g/cm³)(8 cm³)
Mass = 960 grams

Answer 2

mass = 960 g

Step-by-step explanation:

The rectangular prism have a density, length , width and height. We are asked to calculate the mass of the rectangular prism from the data given above.

The density of an object measures the mass of the object to it volume. Mathematically, density is the mass of an object divided by it volume. It is represented as follows;

density = mass/volume

The density of the prism is known from the data given but the volume is not given . Base on the data given, one could compute volume of the rectangular prism.

volume of a rectangular prism = Length × width × height

length = 4cm

width = 2cm

height = 1cm

volume of a rectangular prism = 4 × 2 × 1

volume of a rectangular prism = 8cm³

Since the volume is known the mass can be computed from the density formula.

density = mass/volume

mass = density × volume

density = 120 g/cm³

volume = 8cm³

mass = 120 × 8

mass = 960 g