Csa of cuboid

CSA of Cone: Cone is a three-dimensional shape having a circular base connecting to a point called an apex or vertex. A cone has a circular cross-section, unlike a pyramid which has a triangular cross-section. The curved surface area (CSA) is the total area occupied by the cone in a three-dimensional plane. Therefore, the curved surface area of a cone is equal to the product of the radius of the circular base and the slant height of the cone. There are two types of cones – right circular cone and oblique cone. Students learn the concept of the curved surface area of cones in secondary classes to solve geometrical problems easily. Check NCERT Solutions for Class 9 Maths Chapter 13 for a better understanding. The detailed information on the Cone CSA formula is provided in this article. Read more to know how to find the CSA of cone, with help of formula and solved examples. CSA of Cone: Definition The curved surface of cone is a total area occupied by the cone in a three-dimensional plane. Cone is a three-dimensional shape with a circular base that narrows down from a flat surface to a point known as the apex or vertex. CSA of the cone is equal to the product of the radius of the base and the height of the cone. The distance between the flat surface and apex is called the height of the cone. The circular base of the cone is measured in radius. To calculate the CSA of cone formula is derived based on the radius and height of the cone. The derivation of the Surface area of cone...

Surface Area of Cube The surface area of the cube, a six-faced three-dimensional object, is defined as the total area covered by all six faces of the cube. The total surface area of a cube can be calculated if we calculate the area of the two bases and the area of the four lateral faces. A cube is a three-dimensional solid figure which consists of square faces. The surface area of a cube is an important geometric measurement and is used in many real-life applications, such as architecture, engineering, and manufacturing. For example, architects use the surface area of a cube to determine the amount of material required to construct a building or a room, while manufacturers use it to calculate the amount of paint or other coatings needed to cover the surface of a cube-shaped object. Let us learn the surface area of cube formula along with how it is derived. 1. 2. 3. 4. What is the Surface Area of Cube? The surface area of the cube is be the sum of the area of the bases and the • Lateral Surface Area (LSA) (or) Curved Surface Area (CSA) - The sum of areas of side faces • Total Surface Area (TSA) - The sum of areas of side faces + The sum of areas of two bases TSA of a Cube The TSA (total surface area) of a cube refers to the total area covered by all six faces of a cube. To calculate the TSA, we find the sum of the areas of these 6 faces. Note that the TSA of a cube is often referred to as just surface area (or) area of cube LSA of a Cube The LSA (lateral surface area) of a ...

In this blog, we will introduce the surface area of cuboid and cubes. We will begin with the surface area of the cuboid. Let us take a cuboid. We can see in each face of the cuboid there is a rectangle. So let us find out how many rectangles does a cuboid has? 1, 2, 3, 4, 5, and 6. So there are 6 rectangles as there are 6 faces of a cuboid. Now open this cuboid and mark its dimensions. On opening, we have this. So we have used six rectangular pieces to cover the complete outer surface of the cuboid. This shows us that the outer surface of a cuboid is made up of six rectangles (in fact, rectangular regions, called the faces of the cuboid), whose areas can be found by multiplying the length by breadth for each of them separately and then adding the six areas together. So, the sum of the areas of the six rectangles is: Area of rectangle 1= (l � h) + Area of rectangle 2= (l � b) + Area of rectangle 3= (l � h) + Area of rectangle 4= (l � b) + Area of rectangle 5= (b � h) + Area of rectangle 6 = (b � h) That is = 2(l � b) + 2(b � h) + 2(l � h) taking 2 common we have = 2(lb + bh + hl) This gives us: Surface Area of a Cuboid = 2(lb + bh + hl) What about a cube? Let us see in the case of the cube. For this also open up a cube. A cuboid, whose length, breadth, and height are all equal, is called a cube. If each edge of the cube is a, then the surface area of this cube would be 2(a � a + a � a + a � a) i.e., 6a 2 The surface area of a cuboid (or a cube) is sometimes also referred to...

- [Voiceover] Let's see if we can figure out the surface area of this cereal box. And there's a couple of ways to tackle it. The first way is, well let's figure out the surface area of the sides that we can see, and then think about what the surface area of the sides that we can't see are and how they might relate, and then add them all together. So let's do that. So the front of the box is 20 centimeters tall and 10 centimeters wide. It's a rectangle, so to figure out its area we can just multiply 20 centimeters times 10 centimeters, and that's going to give us 200 centimeters. 200 centimeters, or 200 square centimeters, I should say. 200 square centimeters, that's the area of the front. And let me write it right over here as well, 200. Now we also know there's another side that has the exact same area as the front of the box, and that's the back of the box. And so let's write another 200 square centimeters for the back of the box. Now let's figure out the area of the top of the box. The top of the box, we see the box is three centimeters deep so this right over here is three centimeters. It's three centimeters deep and it's 10 centimeters wide. We see the box is 10 centimeters wide. So the top of the box is gonna be three centimeters times 10 centimeters, which is 30 square centimeters of area. So that's the top of the box, 30 square centimeters. Well, the bottom of the box is gonna have the exact same area, we just can't see it right now, so that's gonna be another 30. ...

Cuboid A cuboid is a three-dimensional geometric shape that looks like a book or a rectangular box. It is one of the most commonly seen shapes around us which has three dimensions: length, width, and height. Sometimes the cuboid shape is confused with a cube since it shares some properties of a cube, however, they are different from each other. Cuboids are commonly used in everyday life in the form of packaging boxes, building materials (such as bricks), electronic devices (such as mobiles and tablets), etc. Thus, it is very important to study about the cuboids and formulas related to volume and surface area of cuboids. 1. 2. 3. 4. 5. 6. What is a Cuboid? We know that a cuboid. Observe the following cuboid which shows its three dimensions: length, width, and height. A cuboid is also known as a " Dimensions of a Cuboid It should be noted that there is no strict rule according to which an edge of a cuboid shape should be named as its length, width (breadth), or height. However, it is understood that if a cuboid is placed on a flat table, then • the height represents the length of any vertical edge; • the length is taken to be the larger of the two dimensions of the horizontal face of the cuboid, and • the width is the smaller of the two dimensions. These dimensions of a cuboid are denoted by 'l' for length, 'w' for width (breadth), and 'h' for height. Apart from these, the face of a cuboid is the flat surface; the edge is the Diagonals of a Cuboid Since a cuboid is a 3D shap...

The concept of surface area and volume for Class 10 is provided here. In this article, we are going to discuss the surface area and volume for different solid shapes such as the cube, cuboid, cone, cylinder, and so on. The surface area can be generally classified into Lateral Surface Area (LSA), Total Surface Area (TSA), and Curved Surface Area (CSA). Here, let us discuss the surface area formulas and volume formulas for different three-dimensional shapes in detail. In this chapter, the combination of different solid shapes can be studied. Also, the procedure to find the volume and its surface area in detail. To get the solutions for class 10 Maths surface areas and volumes, click on the below link. • NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes . Video Lesson on Surface Areas and Volumes Class 10 Surface Area and Volume of Cuboid A cuboid is a region covered by its six rectangular faces. The surface area of a cuboid is equal to the sum of the areas of its six rectangular faces. Surface Area of the Cuboid Consider a cuboid whose dimensions are l × b × h, respectively. Cuboid with length l, breadth b and height h The total surface area of the cuboid (TSA) = Sum of the areas of all its six faces TSA (cuboid) = 2 ( l × b ) + 2 ( b × h ) + 2 ( l × h ) = 2 ( l b + b h + l h ) Lateral surface area (LSA) is the area of all the sides apart from the top and bottom faces. The lateral surface area of the cuboid = Area of face AEHD ...