Geometry and Measurement: The Cube and The Cuboid

The video tutorial explains the differences between a cuboid and a cube. It details the characteristics of each shape, highlighting that a cuboid has six rectangular faces, 12 edges, and eight vertices, with opposite faces being congruent and parallel. In contrast, a cube has six square faces, all equal in area, 12 equal edges, and eight vertices. The tutorial emphasizes the three dimensions of each shape, noting that a cube's dimensions are equal, while a cuboid's are not necessarily so. The video concludes by summarizing these differences, aiding viewers in distinguishing between the two shapes.

Which of the following is true about the faces of a cuboid?

• All faces are squares.

• Each face is a triangle.

• Each face is a rectangle.

• All faces are circles.

How many edges does a cuboid have?

• 8

• 12

• 10

• 14

What is unique about the dimensions of a cube?

• Only two dimensions are equal.

• None of the dimensions are equal.

• All dimensions are equal.

• All dimensions are different.

How many vertices does a cube have?

• 12

• 10

• 8

• 6

What is a key difference between a cuboid and a cube?

• A cuboid has equal edges, while a cube does not.

• A cube has rectangular faces, while a cuboid has square faces.

• A cube has more vertices than a cuboid.

• A cuboid has rectangular faces, while a cube has square faces.