Six pyramids are shown inside of a cube. the height of the cube is h units.
six identical square pyramids can fill the same volume as a cube with the same base. if the height of the cube is h units, what is true about the height of each pyramid?
the height of each pyramid is one-half h units.
the height of each pyramid is one-third h units.
the height of each pyramid is one-sixth h units.
the height of each pyramid is h units.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

it would rotate about 180 degrees.