What does the formula V = 1/3Bh calculate?

What does the formula V = 1/3Bh calculate?

• A. Volume of a cone
• B. Volume of a sphere
• C. Volume of a triangular pyramid
• D. Volume of a rectangular prism

Answer: (C)

The formula V = 1/3Bh is specifically used to calculate the volume of a triangular pyramid, also known as a tetrahedron. In this formula, "B" represents the area of the base of the triangular pyramid, and "h" represents the height of the pyramid, which is measured perpendicularly from the base to the apex (top point) of the pyramid. This formula is derived from the general relationship between the volume of a pyramid and its base area and height. For any pyramid, regardless of the base shape, the volume is one-third of the product of the base area and the height. Therefore, when applied to a triangular base, it effectively gives you the volume of the triangular pyramid. The other options provided refer to different geometric shapes and have their own specific volume formulas, making them unsuitable choices for this question. Understanding this formula allows for effective calculations in geometry related to pyramids and their characteristics.

The formula V = 1/3Bh is specifically used to calculate the volume of a triangular pyramid, also known as a tetrahedron. In this formula, "B" represents the area of the base of the triangular pyramid, and "h" represents the height of the pyramid, which is measured perpendicularly from the base to the apex (top point) of the pyramid.

This formula is derived from the general relationship between the volume of a pyramid and its base area and height. For any pyramid, regardless of the base shape, the volume is one-third of the product of the base area and the height. Therefore, when applied to a triangular base, it effectively gives you the volume of the triangular pyramid.

The other options provided refer to different geometric shapes and have their own specific volume formulas, making them unsuitable choices for this question. Understanding this formula allows for effective calculations in geometry related to pyramids and their characteristics.