Question

A model of a​ tractor-trailer is shaped like a rectangular prism and has a width of ​3in., a length of ​in., and a height of 8 in.. The scale of the model is 1:33 . How many times the volume of the model is the volume of the actual​ tractor-trailer?

Answer 1

35,937 times

Explanation:

Given the following :

Width = 3 inches

Length = 7 inches

Height = 8 inches

Scale of model = 1:33

How many times the volume of the model is the volume of the actual​ tractor-trailer?

Volume of model:

Volume of rectangular prism :

Length * width * height:

Volume = (3 * 7 * 8) = 168 inches

Volume of actual trailer :

(3 * 33) * (33 * 7) * (33 * 8) = 6037416 inch³

Hence,

6037416 / 168 = 35,937 times