Question

find the volume of the prism. a. 200 in³ b. 207 in³ c. 284 in³ d. 158 in³

Explanation:

1. First, 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.
• From the given prism, \(l = 8\) in, \(w = 5\) in, and \(h = 5\) in.

1. Then, calculate the volume:

• Substitute the values into the formula: \(V=8\times5\times5\).
• \(8\times5 = 40\), and \(40\times5=200\) \(in^{3}\).

Answer:

A. 200 \(in^{3}\)