Hexagon d and hexagon h are regular hexagons. the scale factor from hexagon d to hexagon h is 0.25. one side of hexagon d measures 18 cm. what is the length of one side of hexagon h?

 4.5 cm

Step-by-step explanation:

Here, Hexagon D and hexagon H are regular hexagons.

And, according to the question,

Hexagon D is dilated to hexagon H.

Here the scale factor of dilation is 0.25 or 1/4.

Thus, if the side of hexagon D = 18 cm

⇒ Then the side of hexagon H = 18 × 1/4 = 18/4 = 4.5 cm

Thus, the length of one side of hexagon H is 4.5 cm.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.