the dimensions of a block are 4m x 3m x 2m and the relative density is 2.7. what is its mass?

Mathematics · High School · Tue Nov 03 2020

Answered on

Given:

Dimensions of a block: 4 mx3mx2m

Relative density = 2.7

Determine the mass.

Formula for Density:

d = m/v

d = density

m = mass

v = volume

We can equate the given formula to determine the formula for the mass.

m = dv

Solution:

Since we are only given the density of the block, and we are required to have the volume, we need first to solve the volume of the block by relating to the given dimensions.

Volume = 4 m x 3m x 2m

Volume = 24 m^3

Substitute the given values of volume and density to the formula for the mass.

m = dv

m = (2.7)(24m^3)

m = 64.8 

We do not have any unit that is stated for density, therefore we cannot determine the exact unit for the mass.

Final answer:

The mass of the object is 64.8