What is the formula of the diagonal of a cuboid?

What is the formula of the diagonal of a cuboid?

Answer: Diagonal of a cube = 3⎷a , Diagonal of a cuboid = ⎷(l2 + b2 + h2) Let us see the formula for the diagonal of a cube and a cuboid in the following section. Explanation: Let ‘a’ be the side length of a cube.

What is the length of a diagonal of a cuboid?

Diagonal of a cuboid = l^2+b^2+h^2.

What is the dimensions of cuboid if the total surface area is 192 volume is 144 diagonal is 13?

Finding the dimensions of a cuboid given the volume, surface area, and diagonal. Let the volume, surface area and length of the diagonal of a cuboid be as follows: 144, 192, 13. Find the dimensions. l2+b2+h2=132=169.

What is diagonal cube?

A cube is a three-dimensional solid figure. The main diagonal of a cube is the one that cuts through the centre of the cube; the diagonal of a face of a cube is not the main diagonal. The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3.

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How many diagonals has a cuboid?

Axial diagonal More generally, a cuboid with edge lengths a, b, and c has all four space diagonals axial, with common length. , with edge length a.

What is the formula for finding diagonals in a polygon?

According to the formula, number of diagonals = n (n-3)/ 2. So, 11-sided polygon will contain 11(11-3)/2 = 44 diagonals. Example 2: In a 20-sided polygon, one vertex does not send any diagonals.

What is the formula to find the diagonal of a cuboid?

Formula: Diagonal of a Cuboid = √ (l 2 + w 2 + h 2) Where, l = Length w = Width h = Height A rectangular cuboid has a shape of a rectangular box, which is also called as a right rectangular prism. (length, width, height).

Are all the faces of a cuboid equal in dimensions?

But not all the faces of a cuboid are equal in dimensions. The sides of the cube are equal but for cuboid they are different. The sides of the cube are square in shape but for cuboid, they are in a rectangular shape. All the diagonals of the cube are equal but a cuboid has equal diagonals for only parallel sides.

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How do you find the volume of a cuboid?

Cuboid Volume Volume of a solid is equal to the product of base area and its height. Thus, the volume of cuboid is equal to the product of base rectangular face and height. Volume = (Length × Breadth) × Height

What is the net of a cuboid shape?

Cuboid Net. The net of a solid shape is the plane obtained by unfolding it across a line. This net will again form the original solid when we fold it. The number of different nets for a cuboid or rectangular cuboid with 3 different lengths are 54. Click here to learn more about nets of 3d shapes. Net 1: Net 2: