Podcast
Questions and Answers
What is the formula for the volume of a right circular cone?
What is the formula for the volume of a right circular cone?
- $ rac{1}{3}eta h$ (correct)
- $ rac{1}{2}eta h$
- $ rac{1}{3} rac{4}{3}eta r^2 h$
- $ rac{1}{3} rac{4}{3}eta r^3$
Which of the following is the correct formula for the total surface area of a hemisphere?
Which of the following is the correct formula for the total surface area of a hemisphere?
- $3eta r^2$
- $4eta r^2$ (correct)
- $3eta r^3$
- $2eta r^2$
What does the variable 'a' represent in the formulas for a cube?
What does the variable 'a' represent in the formulas for a cube?
- The volume of the cube
- The side length of the cube (correct)
- The area of one face of the cube
- The length of the diagonal of the cube
What is the formula for the lateral surface area of a cuboid?
What is the formula for the lateral surface area of a cuboid?
How is the lateral surface area of a right prism with a triangular base calculated?
How is the lateral surface area of a right prism with a triangular base calculated?
Flashcards
Cuboid Surface Area
Cuboid Surface Area
The total area of the faces of a cuboid (rectangular prism).
Cube Volume
Cube Volume
The amount of space a cube occupies.
Cylinder Curved Surface Area
Cylinder Curved Surface Area
The area of the curved part of a cylinder.
Cone Volume
Cone Volume
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Sphere Surface Area
Sphere Surface Area
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Study Notes
Surface Area and Volume Formulas
-
Cuboid:
- Lateral/Curved surface area: 2h(l+b)
- Total surface area: 2(lb+bh+hl)
- Volume: lbh
- Nomenclature: l=length, b=breadth, h=height
-
Cube:
- Lateral/Curved surface area: 4a²
- Total surface area: 6a²
- Volume: a³
- Nomenclature: a=side of the cube
-
Right Prism:
- Lateral/Curved surface area: Perimeter of base x height
- Total surface area: Lateral surface area + 2(area of the end surface)
- Volume: Area of base x height
- Nomenclature: -
-
Regular Circular Cylinder:
- Lateral/Curved surface area: 2Ï€rh
- Total surface area: 2Ï€r(r+h)
- Volume: πr²h
- Nomenclature: r=radius of the base, h=height
-
Right Pyramid:
- Lateral/Curved surface area: ½(perimeter of base) x slant height
- Total surface area: Lateral surfaces area + area of the base
- Volume: â…“ area of the base x height
- Nomenclature: -
-
Right Circular Cone:
- Lateral/Curved surface area: πrl
- Total surface area: πr(l+r)
- Volume: ⅓πr²h
- Nomenclature: r=radius of the base, h=height, l=slant height
-
Sphere:
- Surface area: 4πr²
- Volume: 4/3πr³
- Nomenclature: r=radius
-
Hemisphere:
- Surface area: 3πr²
- Volume: 2/3πr³
- Nomenclature: r=radius
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