Question

what is length x width x height for a rectangular pyramid if the numbers are 8 4 and 2?

Answer 1

If you're referring to the volume of a rectangular pyramid, the formula is not simply length x width x height like it is for a rectangular prism (box). Instead, the volume of a pyramid is calculated as:

\[ V = \frac{1}{3} \times \text{base area} \times \text{height} \]

For a rectangular pyramid (assuming the base is a rectangle and the height is the perpendicular distance from the base to the apex), the base area is the length times the width of the rectangle at the base.

Given your numbers (assuming they represent the length and width of the base and the height of the pyramid, respectively), here's how you would calculate the volume:

1. Calculate the base area: length x width = 8 x 4 = 32 square units.
2. Calculate the pyramid's volume: \( \frac{1}{3} \) x base area x height = \( \frac{1}{3} \) x 32 x 2 = \( \frac{64}{3} \) cubic units.

So, the volume of the pyramid would be \( \frac{64}{3} \) or approximately 21.33 cubic units.