How many rectangular faces does a rectangular solid have?

How many rectangular faces does a rectangular solid have?

• A. Four
• B. Eight
• C. Six
• D. Three

Answer: (C)

Think about a rectangular solid in terms of its three measurements: length, width, and height. For each dimension there is a pair of opposite faces that enclose the solid. There are two faces for the height (top and bottom), two for the width (left and right), and two for the length (front and back). That makes 2 + 2 + 2 = 6 rectangular faces in total. This holds for any rectangular solid, including cubes. So the correct count is six.

Think about a rectangular solid in terms of its three measurements: length, width, and height. For each dimension there is a pair of opposite faces that enclose the solid. There are two faces for the height (top and bottom), two for the width (left and right), and two for the length (front and back). That makes 2 + 2 + 2 = 6 rectangular faces in total. This holds for any rectangular solid, including cubes. So the correct count is six.