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.
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.
Lateral surface area of cuboid and cube
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. A cuboid has 2 kinds of surface area. The surface area of a cuboid is calculated based on what type of surface area is required. The formulas for both types of surface areas are different.
So the sum of areas of all 4 side faces of a cube is its lateral area.
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.
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. So, all its edges are equal in size. If you calculate the sum of the areas of all its 6 faces, it gives us the surface area of the cube. The surface area of a three-dimensional shape is the sum of the areas of all the faces of the shape. If you wish to calculate the amount of color paint required to paint the surface of the cube, you will need to know the surface area of the cube!
Lateral surface area of cuboid and cube
When you look around the room in your house, you can see many objects that have the shape of a rectangular box. For example, furniture, books and TV are in the shape of a rectangular box. This shape is a cuboid. As a matter of fact, a cube is a special type of cuboid in which all sides are squares and identical. Let us learn more about cubes and cuboids.
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View Result. The lateral surface area of a cube is defined as the total area of the side faces of the cube. Trigonometry Formulas For Class Question 1: What is the difference between the total surface area of a cuboid and the lateral surface area of a cuboid? Vote for difficulty :. If the rectangles have equal sides, they become squares and eventually, the cuboid becomes a cube. The sum of areas of all 6 side faces of a cube is its lateral area. Post My Comment. The cube and cuboid shapes in Maths are three-dimensional shapes. Learn Math Formulas with tutors mapped to your child's learning needs. The formula for the total surface area of a cuboid is given:. Enhance the article with your expertise. False, the sum of areas of the 4 side faces of a cube is its lateral area. We use cookies to ensure you have the best browsing experience on our website.
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.
Example: Calculate the total surface area of a cuboid if its length, breadth, and height are 8 cm, 3 cm, and 5 cm, respectively. For example: cm 2 , m 2 , inch 2 , etc. Example 3: Find the lateral area of the cube using the lateral area formula whose side is 7 units. Admission Experiences. Our Mission. Is a cube, a special kind of cuboid? You can suggest the changes for now and it will be under the article's discussion tab. Start Quiz. Calculus Cheat Sheet. Explore offer now. Maths Games. There are 6 rectangular faces in a cuboid. Solution: a.
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