Question

the right square pyramid shown has a height of 9 centimeters (cm). the length in cm of one edge of the pyramids base is $\frac{13}{3}$ times the height if the pyramid. what is the volume in cm³ of the pyramid? note: figure not drawn to scale.

Explanation:

Step1: Find base - edge length

Base - edge length $a=\frac{13}{3}\times9 = 39$ cm.

Step2: Calculate base area

Base area $A=a^{2}=39^{2}=1521$ cm².

Step3: Calculate volume

Volume $V=\frac{1}{3}Ah=\frac{1}{3}\times1521\times9 = 4563$ cm³.

Answer:

4563