If the volume of a cube is 27 what is the shortest distance from the center of the cube to the base of the cube

1
2
1.5
3

Step-by-step explanation:

Since a cube is a three dimensional solid with square faces, the distance from center of the cube to the base of the cube is the same as half any one of its sides (all sides in a cube having the same length).

If we consider the length of the side to be a, then formula for volume of a cube is:

V=a³

27=a³

Find the cube root on both sides.

3×3×3=a×a×a

3=a

Since the length of the side is 4, the distance from the center of the cube to the base of the cube is

3/2=1.5

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is