Notice that you are dealing with a pyramid of square based, and they give you the volume of the pyramid, and also the measure of the side of the base (16 cm the side of the square base).
Recall at this point that the volume of a pyramid is the product of the area of the base, times the pyramid height, divided by "3" .
then we can write the pyramid's volume as:
[tex]\begin{gathered} \text{Volume}=\text{Area of Base }\cdot\text{ Height /3} \\ 1024=(16\cdot16)\cdot\frac{\text{Height}}{3} \end{gathered}[/tex]wher we have used the fact that the area of a square is the product of its side by itself:
Area of square = side*side
in our case :
Area of square = 16 times 16 = 256 cm^2
so now, we dolve for the height by multiplying both sides of our equation by "3" (thus getting rid of the denominator), and also by dividing both sides by 256, as shown below:
[tex]\begin{gathered} 1024=\frac{256\cdot Height^{}}{3} \\ 3\cdot1024=256\cdot\text{Height} \\ \frac{3\cdot1024}{256}=\text{ Height} \\ \text{Height}=12 \end{gathered}[/tex]Therefore, the height of the pyramid is 12 cm
