For which shape is the formula V = 1/3 B•h applicable?

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Multiple Choice

For which shape is the formula V = 1/3 B•h applicable?

Explanation:
The formula V = 1/3 B•h is specifically applicable to the calculation of the volume of a pyramid. In this formula, V represents the volume, B represents the area of the base of the pyramid, and h represents the height of the pyramid from the base to the apex. In the case of a pyramid, this formula derives from the geometric principle that the volume of a pyramid is one-third the product of its base area and its height. This characteristic distinguishes pyramids from other three-dimensional shapes, as each of those shapes has its own unique formula for volume. For instance, the volume of a cylinder is calculated using the formula V = πr²h, where r is the radius of the base, and the volume of a rectangular prism is found using V = lwh, where l, w, and h are the length, width, and height, respectively. Therefore, when determining the shape in which the formula V = 1/3 B•h is applicable, it is clear that it corresponds to a pyramid.

The formula V = 1/3 B•h is specifically applicable to the calculation of the volume of a pyramid. In this formula, V represents the volume, B represents the area of the base of the pyramid, and h represents the height of the pyramid from the base to the apex.

In the case of a pyramid, this formula derives from the geometric principle that the volume of a pyramid is one-third the product of its base area and its height. This characteristic distinguishes pyramids from other three-dimensional shapes, as each of those shapes has its own unique formula for volume. For instance, the volume of a cylinder is calculated using the formula V = πr²h, where r is the radius of the base, and the volume of a rectangular prism is found using V = lwh, where l, w, and h are the length, width, and height, respectively.

Therefore, when determining the shape in which the formula V = 1/3 B•h is applicable, it is clear that it corresponds to a pyramid.

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