Question

note: figure not drawn to scale. 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 of the pyramid. what is the volume, in \\(\mathrm{cm}^3\\), of the pyramid?

Explanation:

Step1: Find base edge length

Calculate base edge: $\frac{13}{5} \times 9 = 23.4$ cm

Step2: Calculate base area

Square the base edge: $23.4^2 = 547.56$ cm²

Step3: Compute pyramid volume

Apply volume formula: $\frac{1}{3} \times 547.56 \times 9$
Simplify: $547.56 \times 3 = 421.2$ cm³

Answer:

421.2