Which of the following is the formula for the volume of a pyramid with base area B and height h?A.B.V = BhC.V = BhD.V = -Bh

Break Down the Problem

1. Identify the components of the formula needed for the volume of a pyramid.
2. Recognize the relationship between the base area, height, and volume.

Relevant Concepts

3. The formula for the volume $V$ of a pyramid is defined as: $V = \frac{1}{3} \times B \times h$ where $B$ is the base area and $h$ is the height.

Analysis and Detail

4. Among the options provided:

   • Option A: $V = Bh$ does not account for the $\frac{1}{3}$ factor.
   • Option B: $V = Bh$ again does not account for the $\frac{1}{3}$.
   • Option C: $V = -Bh$ is incorrect as the volume cannot be negative.

5. None of the given options correctly represent the volume of a pyramid.

Verify and Summarize

6. The accurate representation of the volume of a pyramid requires multiplying the base area by the height and then dividing by 3. Therefore, the correct formula is: $V = \frac{1}{3}Bh$

Final Answer

None of the options (A, B, or C) correctly represent the formula for the volume of a pyramid. The correct formula should be $V = \frac{1}{3}Bh$.