Properties and Types of Prisms

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What is a prism in geometry?
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A prism is a three-dimensional shape with two parallel, congruent bases connected by rectangular or parallelogram-shaped faces.
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What are the faces of a prism called?
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The faces that connect the two bases are called lateral faces.
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How is the surface area of a prism calculated?
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The surface area of a prism is the sum of the areas of all its faces, including the bases and lateral faces.
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What is the difference between a right prism and an oblique prism?
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A right prism has lateral faces that are perpendicular to its bases, while an oblique prism has lateral faces that are not perpendicular.
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How do you describe a rectangular prism?
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A rectangular prism has bases that are rectangles, and its lateral faces are also rectangles.
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What is the formula used to find the volume of a prism?
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Volume = Area of Base × Height.
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What is the defining feature of a regular prism?
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In a regular prism, the bases are regular polygons.
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Is a cylinder considered a prism? Why or why not?
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Yes, a cylinder is considered a type of prism with circular bases.
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What distinguishes a triangular prism from other prisms?
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A triangular prism has triangular bases, making its total number of faces 5.
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How many edges does a pentagonal prism have?
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A pentagonal prism has 15 edges.
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Identify the bases of a cube considered as a prism.
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In a cube, any pair of opposite faces can be considered as bases because all faces are congruent squares.
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What type of prism results when the base is a hexagon?
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The prism is called a hexagonal prism.
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Describe the cross-section of a prism parallel to its base.
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The cross-section is congruent to the base of the prism.
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Explain the role of diagonals in understanding prism structure.
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Diagonals connect non-adjacent vertices on the same or different faces, helping to understand symmetry and properties of the prism.
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How can you differentiate between a prism and a pyramid?
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A prism has two parallel, congruent bases, while a pyramid has only one base with all faces converging at a single apex.
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