Surface Area of a Cuboid

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

Answer:

Difference between the total surface area of cuboid and lateral surface area of cuboid:

• The total surface area of a cuboid is the sum of all six sides, while the lateral surface area of a cuboid is the sum of only 4 sides of the cuboid; the base and the top side are not involved while solving for the lateral surface area of the cuboid.
• The formulas for total surface area and lateral surface area are different; they are, Lateral surface area of a cuboid = 2h(l + b) square units and Total surface area of a cuboid = 2 (lb + bh + lh) square units.

Question 2: What do you mean by TSA and LSA of a cuboid?

Answer:

TSA is short for the total surface area of a cuboid. The total surface area is the sum of all 6 sides. LSA stands for the lateral surface area of the cuboid, and the lateral surface area is the sum of the four sides of the cuboid (base and top are excluded).

Question 3: What is the unit used for the surface area of a cuboid?

Answer:

The surface area of a cuboid is measured in square units. For example: cm², m², inch², etc.

Question 4: What is the total surface area of a cuboid?

Answer:

The total surface area of a cuboid is defined as the sum of the area of all sides of a cuboid. 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. The formula for the total surface area of a cuboid is given:

TSA = 2 (lb + bh + lh) square units.

Question 5: How to find the lateral surface area of a cuboid?

Answer:

The lateral surface area of a cuboid is the area of all the lateral sides/surfaces of the cuboid. In order to understand how to find the lateral surface area of a cuboid, let’s take a look at the given steps:

Step 1: Observe and note down the dimensions of each size. In case the dimensions have different units, convert them into one unit.

Step 2: Use the formula for the total surface area of the cuboid: that is, LSA = 2h(l + b) square units.

Step 3: Note down the area contained in proper units.

Question 6: Find the volume and surface area of a cuboid.

Answer:

The volume of a cuboid is the space occupied by the 3-dimensional cuboid. The formula for the volume of a cuboid is l × b × h cubic units, l is the length, b is the breadth, and h is the height of the cuboid. The surface area of a cuboid is the region covered cuboid in 2-dimensional space. The formula for the surface area of a cuboid is 2 (lb + bh + lh) square units.

The surface area of a cuboid is the total space occupied by all its surfaces/sides. 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. Let’s learn in detail about the surface area of a cuboid, along with examples.