A toothpaste manufacturer wraps its boxes in plastic. Its most popular toothpaste comes in a box that’s 8 centimeters tall and uses 1,224 square centimeters of plastic wrap. The company sells a travel version of the toothpaste in a box that’s a dilation of the original box. The travel version uses 306 square centimeters of plastic wrap. How tall is the travel version’s box?
A. 1/2 centimeters
B. 2 centimeters
C. 4 centimeters
D. 5 centimeters

Respuesta :

The height of the travel box version is 2 cm.

Dilation

Dilation is the increase or decrease in the size of a figure by a factor k to create and image. Both the figure and image are similar, hence the ratio of their corresponding sides are congruent.

Let h represent the height of the travel box, hence:

h / 8 = 306 / 1224

h = 2 cm

The height of the travel box version is 2 cm.

Find out more on Dilation at: https://brainly.com/question/10253650