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.
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. The lateral surface area LSA of a cube is also known as its lateral area. The lateral surface area is expressed in square units.
Explore math program. Calculate the lateral surface area of the cuboid.
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.
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.
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. Here we explain how to calculate the volume of a cube while also taking a look at what makes the cube such a popular shape. Let's start from the beginning.
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The lateral area does not include the base area of the object as well as the face parallel to the base. How many rectangular faces are there in a cuboid? Example 5: Calculate the total surface area of a cuboid if its length, breadth, and height are 10 in, 5 in, and 8 in, respectively. What is the other name of a cube in Maths? Terms and Conditions. Cube: A cube is a three-dimensional shape that is defined in the XYZ plane. Additional Information. What kind of Experience do you want to share? The surface area of a cuboid is calculated based on what type of surface area is required. A cube is a three-dimensional shape having all its sides equal and the faces of the cube are square in shape. Maths Program. Example 3: Calculate the height of the cuboid whose lateral surface area is square units and whose length and breadth are 12 units and 8 units, respectively. If the rectangles have equal sides, they become squares and eventually, the cuboid becomes a cube.
Do you see any objects of rectangular shape? This could be a household item, a crate, a block, or anything of the like.
The surface area of a cuboid is the region covered cuboid in 2-dimensional space. Example 1: Determine the lateral surface area of a cuboid if its length, breadth, and height are 15 in, 8 in, and 12 in, respectively. Kindergarten Worksheets. However, the lateral surface area of a cuboid is the area of only 4 sides base and top excluded. A cube is referred to as: A regular hexahedron as it has 6 congruent faces and A square prism as its top and bottom faces are squares It is to be noted that a cube is one of the 5 platonic solids. In case the dimensions have different units, convert them into one unit. Usually, the surface on which a solid rests is known to be the base of the solid. Lateral area formulas help in calculating the lateral surface area of different figures including cuboid, cube, cylinder, cone, and sphere. Maths Formulas. Already booked a tutor? So, the lateral surface area of a cube is the sum of the areas of all side faces of the cube. What are a cube and a cuboid? Since the cuboid has 12 edges and the value of its edges are different from each other, therefore, the perimeter is given by:. The formulas for both types of surface areas are different. Maths Puzzles.
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