An object in the shape of a rectangular prism has a length of 5 inches, a width of 3 inches, and a height of 2 inches. The object's density is 8.3 grams per cubic centimeter. Find the mass of the object to the nearest gram.

Step-by-step explanation:

the formula for density is:

where d is density, m is mass, and V is volume.

solving for m in the last equation:

so if we find the volume and multiply it by the density  we will get the mass of the object.

The volume of a rectangular prism is given by:

where is length, is width and is height:

we substitute to find the volume:

since the density has units of we need the volume also in units of , so we make the conversion using:

multiplying by 30:

and now we find the mass with the equation:

substituting d and V:

the nearest gram is:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.