A model of a truck is built to a scale of 1 to 54. If the model casts a shadow of 8 square inches, how large a shadow will the actual truck cast?
A) 36 square feet
B) 162 square feet
C) 288 square feet
D) 729 square feet

Question

Quizplus · Accepted Answer

Since the model is built to a scale of 1 to 54, this means that every dimension of the model is 54 times smaller than the actual dimension of the truck. Therefore, the area of the shadow of the model is 54^2 times smaller than the area of the shadow of the truck.

Let x be the area of the shadow of the truck. Then we have:

x = 8 * 54^2 = 162,144

So the area of the shadow of the actual truck is 162,144 square inches, which is equal to 162,144/144 = 1,126 square feet.

Therefore, the answer is B, 162 square feet.

A Model of a Truck Is Built to a Scale