Question

find the volume of the prism. v = ? in³

Explanation:

Step1: Recall the volume formula for a prism

The volume formula for a prism is \( V = B\times h\) (where \(B\) is the base area and \(h\) is the height). For a rectangular - prism (which this appears to be), \(V=l\times w\times h\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height.

Step2: Identify the values of \(l\), \(w\), and \(h\)

Here, \(l = 6\) in, \(w = 7\) in, and \(h = 8\) in.

Step3: Calculate the volume

Substitute the values into the formula: \(V=6\times7\times8\). First, calculate \(6\times7 = 42\), then \(42\times8=336\).

Answer:

\(336\)