Question

tarik is making cornbread. he pours the batter into the pan shown. the recipe tells him to stop whe the batter is 0.5 inch from the top. what height should the batter reach? 2.5 in. what is the volume, v, of the batter that tarik should pour into the pan? v = in.³

Explanation:

Step1: Calculate the height of the batter

The height of the pan is \(3\) inches. The batter should be \(0.5\) inch from the top. So the height of the batter \(h = 3 - 0.5=2.5\) inches.

Step2: Calculate the volume of the batter

The volume \(V\) of a rectangular - prism (the shape of the batter in the pan) is given by the formula \(V=l\times w\times h\), where \(l = 9\) inches (length), \(w = 5\) inches (width), and \(h = 2.5\) inches (height of the batter).
Substitute the values into the formula: \(V=9\times5\times2.5\).
First, calculate \(9\times5 = 45\). Then, \(V=45\times2.5\).
\(45\times2.5=(40 + 5)\times2.5=40\times2.5+5\times2.5=100 + 12.5 = 112.5\)

Answer:

\(112.5\)