Question

1. the formula for the volume of a right rectangular prism is:

o a. v = l × w × h
o b. v = 2rh
o c. v = \frac{4}{3}πr^{3}
o d. v = 2πrh

Explanation:

• Option a: The formula \(V = l\times w\times h\) (where \(l\) is length, \(w\) is width, and \(h\) is height) is the standard formula for the volume of a right - rectangular prism.
• Option b: \(V = 2rh\) is not a volume formula. It could be related to the lateral surface area of a cylinder if we consider \(2r\) as the diameter (\(d\)) and then \(V=dh\) (but this is not a standard volume formula for common 3D - shapes).
• Option c: \(V=\frac{4}{3}\pi r^{3}\) is the volume formula for a sphere.
• Option d: \(V = 2\pi rh\) is the lateral (curved) surface area formula of a cylinder.

Answer:

A. \(V = l\times w\times h\)