Question

what is the volume of this rectangular pyramid? 18.9 ft 17 ft 17 ft cubic feet

Explanation:

Step1: Calculate the base area

The base is a square with side length \(17\) ft. The area of a square is \(A = s^2\), so \(A=17\times17 = 289\) square feet.

Step2: Use the volume formula for a pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}Ah\), where \(A\) is the base area and \(h\) is the height. Here, \(A = 289\) and \(h=18.9\). Then \(V=\frac{1}{3}\times289\times18.9\).
First, calculate \(289\times18.9 = 289\times(18 + 0.9)=289\times18+289\times0.9=5202+260.1 = 5462.1\).
Then, \(V=\frac{5462.1}{3}=1820.7\).

Answer:

\(1820.7\)