Question

use the rules for working with measurements to give your answer to the appropriate accuracy and/or prec
find the volume of the figure (in inches cubed).
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Explanation:

Step1: Find the base area

The base is a square with side length \(s = 8.30\) in. The area of a square \(A_{base}=s^{2}\).
\(A_{base}=(8.30)^{2}=68.89\space in^{2}\)

Step2: Use the volume formula for a pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}A_{base}h\). Here, \(h = 6.70\) in and \(A_{base}=68.89\space in^{2}\).
\(V=\frac{1}{3}\times68.89\times6.70\)
First, calculate \(68.89\times6.70 = 461.563\)
Then, \(V=\frac{461.563}{3}\approx153.8543\approx154\space in^{3}\) (rounded to three - significant figures as the given measurements \(8.30\) and \(6.70\) have three significant figures)

Answer:

\(154\space in^{3}\)