Question

If x = 8 units and y = 24 units, then what is the volume of the square pyramid shown above?

Answer 1

In this problem, we want to find the volume of a pyramid. In general, the formula for the volume of a pyramid is

`V=(1)/(3)Bh`

where B represents the base shape's area, and h represents the height.

From the image, we can see the base shape is a square, and we can use the formula:

`V=(1)/(3)x^2y`

Note: the area of a square is the side-length squared, and since we know the side length is labeled x, we can update the formula as we did above.

We are given x = 8 and y = 24, so we can substitute and simplify to find the volume:

`\begin{gathered} V=(1)/(3)(8)^2(24) \\ \\ V=(1)/(3)(64)(24) \\ \\ V=512 \end{gathered}`

The final volume is 512 cubic units.