Question

A board game manufacturer wraps its game boxes in plastic. Its most popular game comes in a box that's 8 cm tall and uses 1408 square centimeters of plastic wrap. The company sells a travel version of the game in a box that's a dialation of the original box. The travel version uses 198 square centimeters of plastic wrap. How tall is the travel version's box?

Answer 1

Answer:

1.125 cm

Step-by-step explanation:

Now for 8 cm tall company uses 1408 cm2 of plastic. Assuming all conditions as standard, we can assume that when 198 cm2 of plastic is consumed, the travel version is uniformly smaller in all dimensions. So, by direct proportion

For 8 cm tall . . . .1408 cm2 is consumed

For "x" cm tall . . .. 198 cm2 is consumed

by cross multiplication,

1408(x) = 198 * 8

x = 198 * 8 / 1408

x = 1.125 cm