Question

isaacs grandmother is teaching him how to make an egg casserole. isaac pours the mixture into the pan shown. isaacs grandmother tells him he should stop when the mixture is 0.5 inch from the top. to allow room for the casserole to rise in the oven. what height should the mixture reach? 1.5 in. what is the volume, v, of the mixture that isaac should pour into the pan? v = in.³

Explanation:

Step1: Find the height of the mixture

The height of the pan is \(2\) inches. The mixture should be \(0.5\) inch from the top. So the height of the mixture \(h = 2 - 0.5=\) \(1.5\) inches.

Step2: Calculate the volume of the mixture

The pan is a rectangular - prism. The formula for the volume of a rectangular - prism is \(V=l\times w\times h\), where \(l = 9\) inches, \(w = 9\) inches, and \(h = 1.5\) inches.
Substitute the values into the formula: \(V=9\times9\times1.5\).
First, calculate \(9\times9 = 81\). Then \(V=81\times1.5\).
\(81\times1.5=(80 + 1)\times1.5=80\times1.5+1\times1.5=120 + 1.5 = 121.5\)

Answer:

\(V = 121.5\) in.\(^{3}\)