Question

A regular-size box of dog treats measures 314 inches by 712 inches by 12 inches. The manufacturer also sells a small-size box that has a volume that is 310 of the volume of the regular-size box.

What is the volume of the small-size box of dog treats?

Enter your answer as a mixed number in simplest form by filling in the boxes.


(its going to be a mixed number) in³

Answer 1

To find the volume of the small-size box, calculate the volume of the regular-size box and multiply it by the given fraction. Provide the answer as a mixed number in simplest form.

Step-by-step explanation:

To find the volume of the small-size box, we need to determine what fraction of the volume of the regular-size box it represents. The problem states that the volume of the small-size box is 310 of the volume of the regular-size box. Let's assume the volume of the regular-size box is V. Then the volume of the small-size box is (310) * V.

Since the dimensions of the regular-size box are given, we can calculate its volume by multiplying the length, width, and height: V = (314 in * 712 in * 12 in)

Finally, we can calculate the volume of the small box by substituting the value of V and solving for (310) * V.

Don't forget to provide the answer as a mixed number in simplest form.