Question

A right angled triangular prism has length 3m, breadth 2m and height 2.5m. If the mass of the prism is 3.4kg, find its density​

Answer 1

Answer:

The density of the prism is 0.453 kilograms per cubic meter.

Step-by-step explanation:

Let suppose that mass in the prism is uniformly distributed. Then, the definition of density ($\rho$), in kilograms per cubic meter, is defined by the equation below:

$\rho = \frac{m}{V}$ (1)

Where:

$m$ - Mass, in kilograms.

$V$ - Volume of the right angle triangle prism, in cubic meters.

Besides, the volume of the right angle triangle prism is:

$V = \frac{1}{2}\cdot b\cdot h\cdot l$ (2)

Where:

$b$ - Breadth of the base, in meters.

$h$ - Height of the base, in meters.

$l$ - Length of the base, in meters.

If we know that $b = 2\,m$, $h = 2.5\,m$, $l = 3\,m$ and $m = 3.4\,kg$, then the density of the prism is:

$V = 7.5\,m^{3}$

$\rho = 0.453\,\frac{kg}{m^{3}}$

The density of the prism is 0.453 kilograms per cubic meter.