Question

isaac’s grandmother is teaching him how to make an egg casserole. isaac pours the mixture into the pan shown. isaac’s 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 (the pan is a rectangular prism with length 9 in, width 9 in, height 2 in.)

Explanation:

Step1: Find mixture height

The pan's total height is 2 in, subtract 0.5 in:
$2 - 0.5 = 1.5$ in

Step2: Calculate mixture volume

Use rectangular prism volume formula $V = l \times w \times h$:
$V = 9 \times 9 \times 1.5$
$V = 81 \times 1.5 = 121.5$

Answer:

1. The height the mixture should reach: 1.5 in.
2. $V = 121.5$ $\text{in}^3$