Final answer:
The given volume formula is for a truncated pyramid or a frustum of a pyramid, which has parallel sides and different-sized bases.
Step-by-step explanation:
The formula V=(1)/(3)Bh_(1)+Bh_(2) is used to calculate the volume of a truncated pyramid or a frustum of a pyramid. A truncated pyramid is a three-dimensional figure that you get when you slice the top off a pyramid parallel to the base, resulting in two parallel bases of different sizes. The term B refers to the area of one of the bases, h_(1) and h_(2) are the heights from each of the bases to the slicing plane (truncation plane). The formula takes the average of the areas of the two bases and multiplies by the height between them.
Applications of this formula might include calculating the volume of a pyramid-shaped container that has been cut at some height, which is a practical scenario in geometry or engineering contexts.