For which geometric shape is the formula V = Bh primarily used?

For which geometric shape is the formula V = Bh primarily used?

• A. Cylinder
• B. Rectangular prism
• C. Triangular pyramid
• D. Circle

Answer: (B)

The formula V = Bh is primarily used to calculate the volume of three-dimensional geometric shapes, where V stands for volume, B represents the area of the base, and h is the height of the shape. For a rectangular prism, the base is a rectangle, and the area of the rectangle can be calculated using the formula A = length × width. Thus, when calculating the volume of a rectangular prism, the formula becomes V = (length × width) × height. This relationship holds true for a rectangular prism because it can be visualized as a stack of rectangle base layers piled up to a certain height, making this formula particularly relevant. The other shapes listed are associated with different volume calculation methods or formulas specific to their geometric characteristics, which is why they do not align with the V = Bh formula.

The formula V = Bh is primarily used to calculate the volume of three-dimensional geometric shapes, where V stands for volume, B represents the area of the base, and h is the height of the shape. For a rectangular prism, the base is a rectangle, and the area of the rectangle can be calculated using the formula A = length × width. Thus, when calculating the volume of a rectangular prism, the formula becomes V = (length × width) × height.

This relationship holds true for a rectangular prism because it can be visualized as a stack of rectangle base layers piled up to a certain height, making this formula particularly relevant. The other shapes listed are associated with different volume calculation methods or formulas specific to their geometric characteristics, which is why they do not align with the V = Bh formula.