Question

vincent brings his lunch to school in a lunch box. the lunch box is 10 inches long, 8 inches wide, and 4 1/2 inches deep. what is the volume of the lunch box? cubic inches

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular - prism (lunch box) is $V = l\times w\times h$, where $l$ is length, $w$ is width, and $h$ is height.

Step2: Identify dimensions

Given $l = 10$ inches, $w = 8$ inches, and $h=4\frac{1}{2}$ inches. Convert $4\frac{1}{2}$ to an improper fraction: $4\frac{1}{2}=\frac{4\times2 + 1}{2}=\frac{9}{2}$ inches.

Step3: Calculate volume

$V=10\times8\times\frac{9}{2}$. First, $10\times8 = 80$. Then, $80\times\frac{9}{2}=\frac{80\times9}{2}=360$ cubic inches.

Answer:

360