a trunk measures 48 inches long 22 and 1/2 feet wide and 32 inches high what is the volume of the box

1 answer:

6 0

The volume is 414,720 in³, which equals 240 ft³.

We need all of the units to be the same. Since 2 of the 3 measurements are in inches, we will convert the feet to inches. 12 inches = 1 foot, so
22.5(12) = 270

To find the volume of a rectangular prism (box), multiply the length, width, and height:
270(48)(32) = 414,720 in³

If we want this in cubic feet, we need to know first that 1 ft³ is a cube with side length 1 ft = 12 inches. This means that the volume is 12*12*12 = 1728 in³. Therefore there are 1728 in³ in 1 ft³:
414720/1728 = 240 ft³

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