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 cuboid, 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. The cube and cuboid are obtained by giving a thickness to the 2D square and rectangle respectively. Cube: A cube is a three-dimensional shape that is defined in the XYZ plane. It has six faces, eight vertices and twelve edges.
The lateral surface area of a cube can be calculated if the length of the diagonal is given. Solution: Method 1: Let us assume that the edge length of the ice cube is x. About Us.
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. Surface area and volume are calculated in 3-D figures. The surface area of a cuboid is measured in square units For example, cm 2 , m 2 , etc.
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
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 cuboid, cube, cylinder, cone, and sphere. Let us see more about the lateral area formulas along with a few solved examples. The lateral area formula for different types of objects is different. Hence there are many lateral area formulas which are explained below. The lateral area does not include the base area of the object as well as the face parallel to the base. The lateral area formula for various objects are given in the tabular list below:. We measure the lateral surface area for 3-dimensional shapes. Given below is a detailed tabular list for you to understand the lateral surface area formula.
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Test your knowledge on Cuboid And Cube Q 5. Maths Calculators. Breakdown tough concepts through simple visuals. The difference between the cube and cuboid shapes are as follows:. Help us improve. The total surface area of a cuboid can be calculated by first calculating the area of all the sides and then adding all six sides. Is a cube, a special kind of cuboid? A cuboid is also a three-dimensional shape that has three pairs of equal sides parallel to each other and the faces of the cuboid are all in a rectangular shape. Sri Lanka. Vote for difficulty :. Given below is a detailed tabular list for you to understand the lateral surface area formula. Here, the length, breadth, and height are 8 cm, 3 cm, and 5 cm. Now, let us learn in detail. Report issue Report.
What is the shape of a dice? Both these objects have the shape of a cube. A cube is a three-dimensional solid having 6 congruent square faces.
Events In Probability. Complete Tutorials. Create Improvement. What happens to the surface area of cuboid, if its length, breadth and height is doubled? Share your suggestions to enhance the article. Step 1: Observe and note down the dimensions of each size. Examples of cuboids are books, bricks, Shoe boxes, etc. 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. Privacy Policy. The lateral area formula for various objects are given in the tabular list below: List of Lateral Area Formula We measure the lateral surface area for 3-dimensional shapes. The sum of areas of all 6 side faces of a cube is its lateral area. Hence there are many lateral area formulas which are explained below. All these objects have a similar shape. False, the sum of areas of the 4 side faces of a cube is its lateral area. A cube is a three-dimensional shape having all its sides equal and the faces of the cube are square in shape.
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