Question

What is the volume, in cubic inches, of the open-top box that Priya creates when she cuts out 6-inch squares from the corners of a 22-inch by 28-inch piece of poster board?

Answer 1

The volume of the open-top box that Priya creates when she cuts out 6-inch squares from a 22-inch by 28-inch piece of poster board is 960 cubic inches.

Step-by-step explanation:

To find the volume of the open-top box that Priya creates, we first need to determine the dimensions of the box after cutting out the squares. The original piece of poster board measures 22 inches by 28 inches. We cut out 6-inch squares from each corner, so the final dimensions of the box are 22 - 2(6) = 10 inches by 28 - 2(6) = 16 inches by 6 inches. To find the volume, we simply multiply the length, width, and height of the box: 10 in. x 16 in. x 6 in. = 960 cubic inches. Therefore, the volume of the open-top box is 960 cubic inches.