Question

1. why is a cube a special kind of rectangular prism?
2. practice: making mental images

how are oblique prisms and right prisms different?

1. practice: organizing information

complete the venn diagrams labels.
write one term from the word bank in each blank.
word bank
cubes
polyhedrons
prisms
rectangular prisms
three - dimensional objects

1. practice: activating prior knowledge and making mental images

what are three real - world examples of prisms?

1. __________

Explanation:

1. A cube is a special rectangular prism because it has all - equal edge lengths. In a rectangular prism, the lengths of the edges can vary, but in a cube, length = width = height.
2. Oblique prisms have lateral faces that are parallelograms (not rectangles), and the lateral edges are not perpendicular to the bases. Right prisms have lateral faces that are rectangles, and the lateral edges are perpendicular to the bases.
3. For the Venn - diagram, from the outermost circle to the innermost: Three - Dimensional Objects, Polyhedrons, Prisms, Rectangular Prisms, Cubes. This is because all cubes are rectangular prisms, all rectangular prisms are prisms, all prisms are polyhedrons, and all polyhedrons are three - dimensional objects.
4. Real - world examples of prisms include a box of cereal (rectangular prism), a triangular prism - shaped tent, and a hexagonal prism - shaped pencil.

Answer:

1. A cube is a special rectangular prism as all its edge lengths are equal.
2. Oblique prisms have non - rectangular lateral faces and non - perpendicular lateral edges to bases; right prisms have rectangular lateral faces and perpendicular lateral edges to bases.
3. Outermost circle: Three - Dimensional Objects; Second circle: Polyhedrons; Third circle: Prisms; Fourth circle: Rectangular Prisms; Innermost circle: Cubes.
4. Box of cereal, triangular prism - shaped tent, hexagonal prism - shaped pencil.