Step-by-step explanation: In this problem, we are asked to find the volume of a box which means we use the formula for finding the volume of a rectangular prism.
To find the volume of a rectangular prism or a prism whose base is a rectangle, we use the following formula.
Volume = length × width × height
Before plugging any numbers into our length, width, or height, first notice that we have dimensions in inches and feet. To make this easier, let's first convert the width which is 1.5 feet into inches. 1.5 feet is equal to 18 inches so now we are all set.
Since the rectangular prism has a length of 14 inches, a width of 18 inches, and a height of 7 inches, we can plug this information into the formula.
Volume = (14 in.) (18 in.) (7 in.)
Volume = 1,764 in.³
Therefore, the volume of the box is 1,764 in.³.
