Question

the image shows a reconstruction of a pyramid with a square base. what is the best estimate for the volume of the pyramid? a. 1,460,040 m³ b. 2,433,400 m³ c. 4,380,120 m³ d. 7,300,200 m³

Explanation:

Answer:

The problem is in the Mathematics - Geometry subfield. The volume of a square - based pyramid is given by \(V=\frac{1}{3}Bh\), where \(B\) is the area of the base and \(h\) is the height. If the base has side length \(s = 230\) meters, then \(B=s^{2}=230^{2}=52900\) square meters and \(h = 138\) meters. So \(V=\frac{1}{3}\times52900\times138 = 2433400\) \(m^{3}\). The answer is B. 2,433,400 \(m^{3}\)