A manufacturer fills various size boxes with flour. Today, the boxes are 12 inches tall, 8 inches wide and 3 inches deep. They a

Answer:

The quantity saved is 36 in³

Step-by-step explanation:

Initially, compute 12*8*3 to find 288, which reflects the box's maximum capacity

but this does not yield the final answer, as it must account for the 1.5-inch empty space at the top. Thus, one must deduct 1.5 from 12, resulting in 10.5 as the effective height, followed by the multiplication of 10.5*3*8 to arrive at 252.

This still doesn't provide the final number since you must subtract 252 from 288 to yield 36, indicating the flour amount the manufacturer is saving.

Consequently, the answer is 36 in³ (since volume is denoted in cubic units).

When the box is filled to a depth of 3 inches, its volume amounts to 12×8×3 = 288 in³

Given that the box is filled only up to 1.5 inches from the top, it implies that the actual filling depth is
3-1.5 = 1.5 inches deep

Calculating the volume at this depth gives 12×8×1.5 = 144 in³

The amount of flour saved then is 288 - 144 = 144 in³