Which of the following properties characterize a cubic unit cell? all angles are right angles, and the sides are of equal length. all angles are equal, and the lengths of the sides are different. all angles are right angles, and the lengths of the sides are different. all angles are unequal, and the sides are of equal length.

1. All angles are right angles, and the sides are of equal length.

Step-by-step explanation:

We know that,

'Unit Cell' is a the simplest repeating unit in a crystal with parallel opposite faces and the edges connecting the equivalent points.

One of the simplest category of the unit cells is 'Cubic unit cell' which is in the form of a lattice having eight equivalent particles on the edges.

Thus, we see that,

In a cubic unit cell, all the edges have equal lengths and all the angles are right angles.

Hence, option A is correct.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is