Table of Contents
Area of Cuboid
Surface Area of Cuboid – Definition
- A cuboid is a three-dimensional shape with six rectangular faces. The length, width, and height of a cuboid are all the same.
- To find the area of a cuboid, we need to find the area of each of its six faces. The area of a rectangle is the length multiplied by the width. So, we can find the area of each face by multiplying the length by the width.
Is Cube a Cuboid?
A cuboid is a three-dimensional figure that has six square faces. A cube is a specific type of cuboid in which all of the faces are squares.
Best Way to Identify a Cuboid
A cuboid is a rectangular prism with six identical square faces. It can be identified by its square faces and rectangular shape.
What is the Volume of Cuboids?
The volume of a cuboid is the product of its length, width, and height.
Total Surface Area of Cuboid
The total surface area of a cuboid is the sum of the areas of its six faces.
- A = 6 × (base × height)
- A = 6 × (10 × 6)
- A = 360
Total Surface Area of Cuboid Formula
The total surface area of a cuboid is the sum of the areas of its six faces.
The formula for the total surface area of a cuboid is
A = 6L × W
Lateral Surface Area Of Cuboid
The lateral surface area of a cuboid is the sum of the areas of all the sides.
The lateral surface area of a cuboid is:
A = 6 (s + t + u)
Lateral Surface Area of Cuboid Formula
- The lateral surface area of a cuboid is the sum of the lateral areas of its six faces. The lateral area of a face is the product of its length and width.
- Lateral Surface Area of Cuboid = (length of face) (width of face)
Solution:
This problem can be solved using the Pythagorean theorem.
The length of Side A is 9 inches, the length of Side B is 12 inches, and the length of Side C is 15 inches.
According to the Pythagorean theorem, the length of the hypotenuse is the square root of the sum of the squares of the other two sides.
The length of the hypotenuse is the square root of 9 + 12 = the square root of 21.
The length of the hypotenuse is 3.6 inches.
Formula for Lateral Surface Area of Cube = 4a2
This is the equation for the lateral surface area of a cube. The lateral surface area is the surface area of the six faces of a cube that are not the base. This equation uses the variable a, which is the length of a side of the cube.
