What is a Cuboid? How to Find the Surface Area and Volume of a Cuboid
A cuboid is a three-dimensional figure surrounded by six rectangular planes of varying size, width, and height magnitudes. It may be a cuboid if you see a frame, stone, or something in the form of a rectangle around you. As viewed from either of the ends, a cuboid (3-dimensional) can be seen to be made up of rectangles (2-dimensional) of various dimensions. In this post, we'll discuss more the surface area of cuboid and its volume. This has 12 edges and 8 vertices. A cuboid's contrary faces are always identical. It implies that the cuboid's opposite surfaces have the same dimension. Total Surface Area (TSA), Lateral or Curved Surface Area (CSA), and Volume are the cuboid's measurements. The surface areas of the cube are calculated in square units, while the volume is measured in cubic units.
Area of Cuboid
Since a cuboid is a three-dimensional solid, its area refers to its surface. Since the faces of a cuboid are rectangular, the area of the cuboid can be determined using the formula for the area of a rectangle.
Cuboid Surface Area
● Total Surface Area
● Lateral Surface Area or Curved Surface Area
Surface Area of Cuboid Formula: Before getting into the concepts of area of cuboid, let us symbolize the dimensions of a cuboid, which are given below, Length, Width, and Height are expressed as l, w, h, respectively.
Total Surface Area of Cuboid
The Total surface area of a cuboid or written as TSA is identical to the sum of the areas of its 6 rectangular faces, which is provided by:
Total Surface Area of a Cuboid = 2 (lw + wh + lh) in square units. The above-discussed formula gives us the total surface area of a cuboid consisting of all six faces.
Lateral Surface Area of Cuboid
It is stated as the sum of 4 planes of a rectangle, not using the top (upper) and the base (lower) surface of the same cuboid. It is also written as LSA. Lateral Surface Area of a cuboid = 2 (lh + wh) = 2 h (l + w) in square units
Volume of Cuboid
The volume of cuboid is the unit of measurement for the mass of a cuboid. The cuboid is a three-dimensional shape that we often encounter. We'll learn how to calculate the volume of a cuboid in this fast tutorial. We'll also learn how to use a rectangular sheet to deduce the formula for cuboid volume and how to apply the formula.
Volume of Cuboid Formula
The volume of a cuboid can be calculated using the concept explained above in the article. Let A represent the area of a rectangular sheet of paper, “h” represents the height to which they can be stacked, and V represents the volume of the cuboid. After that, multiply the base area and height to get the volume of the cuboid.
● volume of Cuboid = Base Area × Height
● base area for cuboid = l × b
Consecutively, the volume of a cuboid, V = l × b × h = lbh
How to Find the Volume of a Cuboid?
The volume of a cuboid is the space or the mass that is occupied inside a cuboid. If all the three dimensions of a cuboid get identical, it forms a cube. The steps to easily and accurately calculate the volume of a cuboid are:
● Step 1: Check if the provided dimensions of cuboids are in similar units or not. If not, converting the dimensions into the same units is very important.
● Step 2: Once the dimensions are converted into the same units, one will have to multiply the length, breadth, and height of the cuboid.
● Step 3: Lastly, write the unit in the end, once the final value is known.