Lateral surface area of cuboid and cube
The lateral area formula is used to find the lateral area of any solid object. The lateral area of any figure is the area of the non-base faces only. Lateral area formulas help in calculating the lateral surface area of different figures including lateral surface area of cuboid and cube, cube, cylinder, cone, and sphere. Let us see more about the lateral area formulas along with a few solved examples.
The lateral surface area of a cube is defined as the total area of the side faces of the cube. A cube is a three-dimensional shape that is made up of 6 congruent square faces. All the 6 square faces of the cube are of the same size. A cube is referred to as:. It is to be noted that a cube is one of the 5 platonic solids. Some real-life examples of a cube are a Rubik's cube, a dice whose faces are squares , an ice cube, etc.
Lateral surface area of cuboid and cube
Cube and cuboid are three-dimensional shapes that consist of six faces, eight vertices and twelve edges. The primary difference between them is a cube has all its sides equal whereas the length, width and height of a cuboid are different. Both shapes look almost the same but have different properties. The area and volume of cube, cuboid and also cylinder differ from each other. In everyday life, we have seen many objects like a wooden box, a matchbox, a tea packet, a chalk box, a dice, a book, etc. All these objects have a similar shape. All these objects are made of six rectangular planes or square planes. In mathematics , the shape of these objects is either a cuboid or a cube. Here, in this article, we will learn the difference between cube and cuboid shapes with the help of their properties and formulas of surface area and volume. The cube and cuboid shapes in Maths are three-dimensional shapes.
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In geometry, a three-dimensional shape having six rectangular faces is called a cuboid. A cuboid is also known as a regular hexahedron and has six rectangular faces, eight vertices, and twelve edges with congruent, opposite faces. It is a three-dimensional form of a rectangle with four lateral faces and two faces at the top and bottom. Some examples of cuboids that we regularly see are bricks, geometric boxes, shoe boxes, packaging boxes, etc. The surface area of a cuboid is the total area covered by all of its surfaces, and since the cuboid is the 3-D form of a rectangle, therefore, along with length and breadth, the height of the cuboid is also involved in finding the surface area.
Do you see any objects of rectangular shape? This could be a household item, a crate, a block, or anything of the like. This shape is known as a Cuboid, and it is a very normal shape to find in our general surroundings. This is shown in the accompanying image of a building, a book, and a frozen yogurt sandwich. These articles are Cuboid shapes.
Lateral surface area of cuboid and cube
Shapes like the cuboid have always fascinated us. Those that can easily be drawn on notebooks and papers ie. What about solid shapes like the cuboid? When we talk of solid shape we refer to the 3D outline of any basic shape like Cubes, Cuboids, etc. From rectangles to squares the 3D counterparts like Cuboid and Cube of both give us a different figure of calculation. Before delving into the concept of surface areas and volumes of cube and cuboid, it is essential that we learn to make them.
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The surface area or total surface area TSA of a cube is the sum of the areas of all 6 faces whereas the lateral surface area LSA is only the sum of the 4 side faces of the cube. Calculate the lateral surface area of the cuboid. Share Share Share Call Us. Enhance the article with your expertise. However, the lateral surface area of a cuboid is the area of only 4 sides base and top excluded. Surface area and volume are calculated in 3-D figures. The volume of the cube is equal to the product of the area of the base of a cube and its height. The four faces which are adjacent to the base are called the lateral faces of the cuboid. The primary difference between them is a cube has all its sides equal whereas the length, width and height of a cuboid are different. Please Login to comment All these objects have a similar shape. The formulas for cube and cuboid shapes are defined based on their surface areas, lateral surface areas and volume. So, to find the LSA of a cube, we find the area of 4 of its faces. Lateral Surface Area of a Cube with Diagonal.
The lateral surface area of a cube is defined as the total area of the side faces of the cube. A cube is a three-dimensional shape that is made up of 6 congruent square faces.
We measure the lateral surface area for 3-dimensional shapes. The lateral area does not include the base area of the object as well as the face parallel to the base. Yes, a cube is a special kind of cuboid where all the faces of the cuboid are of equal length. Your Mobile number and Email id will not be published. CSA curved surface area is the area of the curved surfaces of a solid. What are a cube and a cuboid? Maths Questions. Example: If the length of the side of the cube is 6 cm, then find its volume. Your result is as below. Also, register to know more about geometrical shapes and to learn about s urface areas and volumes of different figures. A cuboid has 12 edges, six faces and eight vertices. They are:.
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