What is the formula of solid figure?
Solid or 3D shapes properties
Solid Shape | Property | Volume Formula (Cubic Units) |
---|---|---|
Cube | Face – square (6) vertices – 8 Edges – 12 | a3 |
Cuboid | Face – Rectangle (6) vertices – 8 Edges – 12 | l × b × h |
Sphere | Curved surface = 1 Edges = 0 Vertices = 0 | (4/3)πr3 |
Cylinder | Flat Surface = 2 Curved Surface = 1 Face = 3 Edges =2 Vertices =0 | πr2h |
What are the formulas for surface area?
Surface Area Formulas:
Shape | Latera Surface Area (LSA) | Total Surface Area (TSA) |
---|---|---|
Cube | 4a2 | 6a2 |
Right Prism | Base perimeter × Height | LSA + 2 (area of one end) |
Right Circular Cylinder | 2πrh | 2πr(r + h) |
Right Pyramid | (1/2) Perimeter of base × Slant Height | LSA + Area of Base |
What is TSA in math?
The total surface area (TSA) includes the area of the circular top and base, as well as the curved surface area (CSA).
How do you calculate the area of a rod?
the formula for the total surface area is 2(pi)radius(height) + 2(pi)radius squared.
How do you find the surface area and volume?
Surface Area Formulas:
- Volume = (1/3)πr2h.
- Lateral Surface Area = πrs = πr√(r2 + h2)
- Base Surface Area = πr2
- Total Surface Area. = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
What is total surface area of cylinder?
Total Surface Area of Cylinder The total surface area of a cylinder is equal to the sum of areas of all its faces. The Total surface area with radius ‘r’, and height ‘h’ is equal to the sum of the curved area and circular areas of the cylinder. TSA = 2π × r × h + 2πr2= 2πr (h + r) Square units.
What is the formula of CSA of cylinder?
Curved Surface Area (CSA) of Cylinder The CSA of cylinder having its base radius ‘r’ and height ‘h’ is given by: Curved surface area (CSA) of cylinder = 2πrh sq. units.
What is the CSA of hollow cylinder?
Answer: The curved surface area of a hollow right cylinder with circular ends with radius r can be flattened into a rectangle whose width is equal to the height (h) of the cylinder and whose length is the circumference of the circular end which is equal to 2 pi r. …
What is CSA and TSA of sphere?
Surface area (TSA) = CSA = 4πr 2. Hemisphere : Curved surface area(CSA) = 2 π r 2. Total surface area = TSA = 3 π r 2.
What is the CSA of cube?
Cube and Cuboid Formulas
Cube | Cuboid |
---|---|
Lateral Surface Area = 4 (Side)2 | Lateral Surface area = 2 height(length + breadth) |
Volume of cube = (Side)3 | Volume of the cuboid = (length × breadth × height) |
Diagonal of a cube = √3l | Diagonal of the cuboid =√( l2 + b2 +h2) |
Is LSA and CSA same?
LSA or lateral surface area is the areas of the lateral surfaces of an object. CSA or curved surface area is the area of the curved surfaces of an object. CSA of cylinder or hemisphere are the same as their LSA.
What is curved surface?
The curved surface is a rounded surface which is not flat. Curved Surface. Flat Surface. An object can have a curved surface all around it. Such objects have only one surface throughout.
What is the difference between total surface area and curved surface area?
Curved Surface Area (CSA) – It includes the area of all the curved surfaces. Lateral Surface Area (LSA) – It includes the area of all the surface excluding the top and bottom areas. Total Surface Area (TSA) – It includes the area of all the surfaces of the object including the bases.
When would you use a curved surface area?
The curved surface area refers to the area of only the curved part of a 3D figure. In general, the lateral surface area and curved surface areas are the same in meaning. For example: In cuboid we use lateral surface area whereas in case of cylinder its curved surface area when you exclude its top and base surfaces.
What is a curved shape?
A curve is a shape or a line which is smoothly drawn in a plane having a bent or turns in it. For example, a circle is an example of curved-shape.
What is the shape of a piece of pie called?
As you can see from the figure above, a sector is a pie-shaped part of a circle. It has two straight sides (the two radius lines), the curved edge defined by the arc, and touches the center of the circle.
What is a simple curve?
A simple curve is a curve that does not cross itself.
What do you call the shape of a pizza slice?
Sectors are shaped like a slice of pizza, with a curved edge and each straight side the same length as the radius of the circle, or pizza, from which it was cut. A sector can be any size, however a sector that is half a circle (180°) is called a semicircle, while a quarter circle sector (90°) is called a quadrant.
Why is pizza eaten in triangles?
Why Is Pizza Cut Into Triangles? Pizza is cut into triangle slices because that is the most common way to equally divide a circle – think of a pie chart. You can also fold slices. This is particularly common in New York where pizza is sold by the slice and is often for take out food.
What type of triangle is a pizza slice?
The Classic Triangle The most traditional way to enjoy a pizza is by having it cut into a classic triangle shape. One of the best parts about the triangle-cut pizza is the equal size of slices.
Why do we put round pizza in a square box?
The answer is actually quite simple: square boxes are easier and less expensive to produce, because they be assembled from one sheet of cardboard. But square boxes are wasteful, and a circular pizza simply doesn’t need all the extra space a square box provides.
Why pizza is called pizza?
The word “pizza” is thought to have come from the Latin word pinsa, meaning flatbread (although there is much debate about the origin of the word). A legend suggests that Roman soldiers gained a taste for Jewish Matzoth while stationed in Roman occupied Palestine and developed a similar food after returning home.
Why are thin crust pizzas cut in squares?
Why is Chicago thin crust pizza cut in squares? A: Known as “party cut” or “tavern cut” (or maybe just the right way to cut pizza), this crisp, square-cut style emerged in Midwest taverns after World War II, according to Rose Barraco George. George says the squares were just easier for tavern patrons to eat with beer.
What is the world’s unhealthiest food?
20 Foods That Are Bad for Your Health
- Sugary drinks. Added sugar is one of the worst ingredients in the modern diet.
- Most pizzas. Pizza is one of the world’s most popular junk foods.
- White bread.
- Most fruit juices.
- Sweetened breakfast cereals.
- Fried, grilled, or broiled food.
- Pastries, cookies, and cakes.
- French fries and potato chips.
What is the most unhealthy part of pizza?
- Refined Carbohydrates. Pizza crust is typically made with refined flour, which is flour made from grains that have had their germ and bran removed.
- Fat Content. The cheese on pizza is high in saturated fat, which increases your risk for high cholesterol and heart disease.
- Sodium Content.
- Considerations.