Given a right pyramid with base area B and height h, what does Bh represent?A.Cross-sectional volumeB.Cross-sectional areaC.Surface areaD.Volume

To determine what $Bh$ represents for a right pyramid with base area $B$ and height $h$, let's analyze the given terms.

1. Understanding the components:

   • The base area $B$ is the area of the pyramid's base.
   • The height $h$ is the perpendicular distance from the apex (top) of the pyramid to the base.

2. Formulating the volume of a pyramid:

   • The formula for the volume $V$ of a pyramid is given by: $V = \frac{1}{3} B h$
   • This shows that volume is a function of both the base area and the height.

3. Evaluating $Bh$:

   • If we consider $Bh$, it can be rewritten in terms of the volume: $Bh = 3V$
   • Therefore, $Bh$ is equivalent to thrice the volume of the pyramid.

4. Analyzing the options:

   • A. Cross-sectional volume: This does not specifically apply to $Bh$.
   • B. Cross-sectional area: This is also not applicable.
   • C. Surface area: The $Bh$ term does not calculate surface area.
   • D. Volume: Since $Bh$ relates directly to the volume when calculated as $\frac{1}{3} B h$, this is the closest match.

Final Answer

Thus, $Bh$ represents D. Volume (specifically, three times the volume of the pyramid).