Question

what is the volume of the figure if bcde is a square with a side length of 6.8 inches and ao = 11 inches? round your answer to the nearest tenth.
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the volume of the figure is

cubic inches.

Explanation:

Step1: Calculate the base area

The base \(BCDE\) is a square with side length \(a = 6.8\) inches. The area of a square is \(A=a^{2}\). So, \(A=(6.8)^{2}=46.24\) square inches.

Step2: Apply 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, \(A = 46.24\) square inches and \(h=AO = 11\) inches.
Substitute the values into the formula: \(V=\frac{1}{3}\times46.24\times11\).
First, calculate \(46.24\times11 = 508.64\). Then, \(V=\frac{508.64}{3}\approx169.5\) cubic inches.

Answer:

\(169.5\)