Kira decorates the exterior faces of a gift box in the shape of a cube .what is the surface area in square inches of the gift box that kira decorates?

The surface area of the gift box that Kira decorates is

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

A cube has six square faces

The surface area of a cube is equal to the area of the six squares faces

where

b is the length side of a cube

In this problem we have

substitute

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

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.