Lateral surface area of cuboid and cube

The lateral surface area of a cube is defined as the total area of the side faces of the 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.

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. They are:. The total surface area of a cuboid is the area of all 6 sides of the cuboid. However, the lateral surface area of a cuboid is the area of only 4 sides base and top excluded.

Question 1: What is the difference between the total surface area of a cuboid and the lateral surface area of a cuboid? Commercial Maths.

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.

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. The cuboid shape has a closed three-dimensional structure surrounded by rectangular faces, which are rectangle plane sections. It is one of the most prevalent shapes in our environment, with three dimensions: length, breadth, and height. What is Area of Rectangle? A cuboid is made up of a total of 6 rectangles, and each rectangle is called a face.

Lateral surface area of cuboid and cube

Welcome to Omni's volume of a cube calculator. Ever wondered what is the volume of a cube or how come the formula for the volume of a cube is so simple? Well, we did, and we've got the answers.

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So, we can write:. Improve Improve. A cube is a three-dimensional shape having all its sides equal and the faces of the cube are square in shape. For example: cm 2 , m 2 , inch 2 , etc. Example: If the length, breadth and height of a cuboid are 5 cm, 3 cm and 4 cm, then find its volume. Step 1: Observe and note down the dimensions of each size. You can suggest the changes for now and it will be under the article's discussion tab. Properties Of Matrices Inverse. The primary difference between them is a cube has all its sides equal whereas the length, width and height of a cuboid are different. Start Quiz. The surface area of a cuboid is measured in square units. In order to find the lateral area of a cube when the space diagonal is given, we need to recall the relationship between the edge length x and the space diagonal d of a cube.

The lateral surface area of a cube is defined as the total area of the side faces of the cube.

Calculus Cheat Sheet. Example: If the side length of the cube is 6 cm, then find its perimeter. Campus Experiences. Work Experiences. Example 3: Find the lateral area of the cube using the lateral area formula whose side is 7 units. Explore math program. It has six faces, eight vertices and twelve edges. A cuboid has 12 edges, six faces and eight vertices. Math will no longer be a tough subject, especially when you understand the concepts through visualizations. Kindergarten Worksheets. The faces of the cuboid are parallel. Report issue Report. Post My Comment. Contribute to the GeeksforGeeks community and help create better learning resources for all.