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Questions and Answers
Which statement correctly describes a right prism?
Which statement correctly describes a right prism?
What is the formula for calculating the volume of a prism?
What is the formula for calculating the volume of a prism?
Which of the following shapes is classified as a polyhedron?
Which of the following shapes is classified as a polyhedron?
How is the total surface area of a prism calculated?
How is the total surface area of a prism calculated?
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Which of the following is considered a non-polyhedron?
Which of the following is considered a non-polyhedron?
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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.
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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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Description
This quiz explores fundamental concepts of plane figures and solids in geometry. It covers types of polygons and their properties, as well as solid shapes like prisms, pyramids, and spheres. Test your knowledge of area formulas and the characteristics that define various geometric figures.
