Podcast
Questions and Answers
Which statement correctly describes a right prism?
Which statement correctly describes a right prism?
- The lateral face is not a rectangle.
- The bases are only triangular.
- The height is perpendicular to the bases. (correct)
- It has curved surfaces.
What is the formula for calculating the volume of a prism?
What is the formula for calculating the volume of a prism?
- Base perimeter * height
- Base area * height (correct)
- Base area / height
- Base area + height
Which of the following shapes is classified as a polyhedron?
Which of the following shapes is classified as a polyhedron?
- Sphere
- Cone
- Cylinder
- Pyramid (correct)
How is the total surface area of a prism calculated?
How is the total surface area of a prism calculated?
Which of the following is considered a non-polyhedron?
Which of the following is considered a non-polyhedron?
Flashcards
Prism
Prism
A three-dimensional shape with two identical bases and rectangular side faces. The bases can be any polygon.
Pyramid
Pyramid
A three-dimensional shape with a polygonal base, triangular side faces, and all these faces meet at a point called the apex.
Right Prism
Right Prism
A prism whose side faces are all rectangles. The height of the prism is perpendicular to the bases.
Oblique Prism
Oblique Prism
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Volume of a Prism
Volume of a Prism
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Study Notes
Plane Figures
- Polygons are shapes with straight sides.
- Triangles have 3 sides.
- Quadrilaterals have 4 sides.
- Pentagons have 5 sides.
- Hexagons have 6 sides.
Formulas
- Square: Area = side²
- Rectangle: Area = length × width
- Triangle: Area = (base × height) / 2
- Trapezium (Trapezoid): Area = [(upper base + lower base) × height] / 2
- Parallelogram: Area = base × height
Solids
- Solids are three-dimensional shapes.
- Prism: A solid with two parallel, congruent bases.
- Cylinder: A prism with circular bases.
- Cube: A prism with square bases.
- Cuboid: A prism with rectangular bases.
- Pyramid: A solid with a polygon base and triangular faces.
- Cone: A solid with a circular base.
- Sphere: A solid with all points equidistant from a central point.
- Polyhedra: Solids with flat faces (e.g., cube, cuboid, prism, pyramid).
- Non-polyhedra: Solids with curved surfaces (e.g., cylinder, cone, sphere).
Prisms
- Vertex: A point where edges meet.
- Edge: A line segment where faces meet.
- Face: A flat surface of the solid.
- Lateral face: A face that is not a base.
- Base: A flat surface that is the bottom or on top of the solid.
- Right prism: Lateral faces are rectangles.
- Oblique prism: Lateral faces are not necessarily rectangles, but the bases are still parallel.
Surface Area and Volume
- Base area: Area of the base(s). Unit cm²/m²
- Base perimeter: Perimeter of the base(s). Unit cm/m.
- Volume: Base area × height = (ans) cm³/m³
- Total surface area: Sum of the areas of all surfaces = Base area × 2 + Base perimeter × height
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