Question

use the diagram to answer the question.
a company packages broth in boxes. a box is 7 inches by 5 inches by 3 inches. if the box is full, what is the volume of broth in the box?
30 in.3
48 in.3
105 in.3
1,260 in.3

Explanation:

Step1: Recall the volume formula for a rectangular prism

The volume \(V\) of a rectangular prism is given by \(V = l\times w\times h\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height.

Step2: Identify the values of length, width and height

Here, \(l = 5\) inches, \(w=3\) inches, \(h = 7\) inches.

Step3: Substitute the values into the formula

\(V=5\times3\times7\). First, calculate \(5\times3=\ 15\). Then, \(15\times7 = 105\)

Answer:

105 in.³ (corresponding to the third option)