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Questions and Answers
Polyhedra with two faces that are congruent and parallel are prisms.
Polyhedra with two faces that are congruent and parallel are prisms.
True (A)
What is the doughnut-shaped, three-dimensional figure commonly called?
What is the doughnut-shaped, three-dimensional figure commonly called?
torus
The faces of a polyhedron are curved.
The faces of a polyhedron are curved.
False (B)
What is a pattern of two-dimensional figures that can be folded into a three-dimensional figure called?
What is a pattern of two-dimensional figures that can be folded into a three-dimensional figure called?
Lateral surface area is found by adding the areas of the vertical faces.
Lateral surface area is found by adding the areas of the vertical faces.
What is the surface area formula for a cube?
What is the surface area formula for a cube?
What is the surface area formula for a cylinder?
What is the surface area formula for a cylinder?
What is the surface area formula for a rectangular prism?
What is the surface area formula for a rectangular prism?
What is the surface area formula for a sphere?
What is the surface area formula for a sphere?
What is the surface area formula for a square pyramid?
What is the surface area formula for a square pyramid?
What is the surface area of a rectangular prism if it is 36 m²?
What is the surface area of a rectangular prism if it is 36 m²?
What is the surface area of a cylinder if it is 314 sq.ft.?
What is the surface area of a cylinder if it is 314 sq.ft.?
What is the surface area of a cube if it is 54 sq.yd.?
What is the surface area of a cube if it is 54 sq.yd.?
What is the surface area of a triangular pyramid if it is 464 sq.in.?
What is the surface area of a triangular pyramid if it is 464 sq.in.?
What is the surface area of a sphere if it is 5,024 cm²?
What is the surface area of a sphere if it is 5,024 cm²?
Flashcards
What defines a prism?
What defines a prism?
A prism is a polyhedron featuring two congruent and parallel faces, known as bases.
What is a Torus?
What is a Torus?
A torus is a doughnut-shaped, three-dimensional figure.
What is a Net?
What is a Net?
A net is a 2D pattern that can be folded to form a 3D figure.
What is Lateral Surface Area?
What is Lateral Surface Area?
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Cube Surface Area Formula?
Cube Surface Area Formula?
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Cylinder Surface Area Formula?
Cylinder Surface Area Formula?
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Rectangular Prism Surface Area Formula?
Rectangular Prism Surface Area Formula?
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Sphere Surface Area Formula?
Sphere Surface Area Formula?
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Square Pyramid Surface Area Formula?
Square Pyramid Surface Area Formula?
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Study Notes
Prisms and Polyhedra
- Prisms are polyhedra with two congruent and parallel faces.
- Tetrahedron is a triangular pyramid, not a torus (doughnut-shaped figure).
Properties of Polyhedra
- The faces of a polyhedron feature flat polygons, not curved surfaces.
- A net is a pattern of two-dimensional shapes that can be folded into a three-dimensional figure.
Surface Area Formulas
- Lateral surface area is derived by summing the areas of all vertical faces.
- Surface area (SA) formulas for various solids:
- Cube: ( SA = 6e^2 )
- Cylinder: ( SA = 2\pi rh + 2\pi r^2 )
- Rectangular Prism: ( SA = 2lw + 2wh + 2lh )
- Sphere: ( SA = 4\pi r^2 )
- Square Pyramid: ( SA = 4(1/2bh) + b^2 )
Surface Area Calculations
- A rectangular prism's surface area is 36 m².
- The surface area of a cylinder is 314 square feet.
- The surface area of a cube is 54 square yards.
- A triangular pyramid has a surface area of 464 square inches.
- The surface area of a sphere is 5,024 cm².
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