Question

based on the diagram, what is the height of the pyramid? 3.2 centimeters 4.82 centimeters 5.6 centimeters 31.36 cubic centimeters i dont know this yet.

Explanation:

Step1: Apply Pythagorean theorem

Let the slant - height be $l = 6.5$ cm and half of the base side length be $a=\frac{3.3\times2}{2}=3.3$ cm. The height $h$ of the pyramid can be found using the Pythagorean theorem $h=\sqrt{l^{2}-a^{2}}$.

Step2: Substitute values

Substitute $l = 6.5$ and $a = 3.3$ into the formula: $h=\sqrt{6.5^{2}-3.3^{2}}=\sqrt{(6.5 + 3.3)(6.5 - 3.3)}=\sqrt{9.8\times3.2}=\sqrt{31.36}=5.6$ cm.

Answer:

5.6 centimeters