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.

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.

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. 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. Let us learn what is the lateral surface area of a cube along with the formula, a few solved examples, and practice questions here. So, the lateral surface area of a cube is the sum of the areas of all side faces of the cube. Can you guess how many side faces does a cube have? Yes, there are 4 side faces because there are 6 faces in total, among which if we remove the top and the bottom faces, there are only 4 side faces. So the sum of areas of all 4 side faces of a cube is its lateral area.

Last Updated : 18 Feb,

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.

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! In other words, the surface area of a cube is the number of unit squares needed to cover the outer surfaces of the solid.

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.

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The sum of surface areas of all faces except the top and bottom face of a solid is defined as the lateral surface area of a solid. A Cuboid is made up of six rectangles, each of the rectangles is called the face. Usually, the surface on which a solid rests is known to be the base of the solid. The Elements Of Geometry. Example 2: The radius of a sphere measures 4 units. Any two faces other than the opposite faces are called adjacent faces. The sum of areas of all 6 side faces of a cube is its lateral area. Explore offer now. Yes, there are 4 side faces because there are 6 faces in total, among which if we remove the top and the bottom faces, there are only 4 side faces. Let us consider a cube of edge length 'x'. Article Tags :. We can calculate the lateral area of a cube using the length of each side. Example: If the length of the side of the cube is 6 cm, then find its volume. Commercial Maths. Properties Of Matrices Inverse.

Do you see any objects of rectangular shape? This could be a household item, a crate, a block, or anything of the like.

Put your understanding of this concept to test by answering a few MCQs. Additional Information. Lateral Surface Area of a Cube with Diagonal 4. The lateral area of any figure is the area of the non-base faces only. TSA is short for the total surface area of a cuboid. They are:. A cuboid has 6 sides 4 lateral sides, 1 base, 1 top and therefore, the sum of the area of all six sides gives the total surface area of a cuboid. A cube is a three-dimensional figure whose all sides are equal i. This sphere is cut into two equal halves. Yes, a cube is a special kind of cuboid where all the faces of the cuboid are of equal length. The formulas for both types of surface areas are different. There are 6 rectangular faces in a cuboid.