Acube with side lengths measuring 4 inches. the cube was sliced parallel to the base. identify the cross-section and calculate its area.

The resulting cross section is a square an the area is

Step-by-step explanation:

we know that

All the faces of the cube are square with side lengths measuring 4 inches

If the cube was sliced parallel to the base

then

the cross section is a square with side lengths measuring 4 inches

so

The area of a square is

we have

substitute

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

-2/