How do you find the diagonal of a cuboid when given the surface area?

How do you find the diagonal of a cuboid when given the surface area?

  1. Let sum of the length , breadth and height of a cuboid is S (given) and length of the diagonal is d (given) .
  2. a+b+c = S………………(
  3. a^2+b^2+c^2=d^2………(
  4. Total surface area of cuboid = 2.
  5. Formula:-
  6. (x+y+z)^2 = x^2+y^2+z^2+2.
  7. or.
  8. Thus , total surface area of the cuboid = (a+b+c)^2-(a^2+b^2+c^2).

How do you find the diagonal of a Class 9 cube?

The main diagonal of every cube can be determined by multiplying the length of one side with the square root of 3.

What is the formula for the diagonal of 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.

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What is the length width and height of a cuboid?

The length, width and height of a cuboid are 11cm, 9cm and 15cm respectively. Calculate the total surface area of the cuboid. Find out the lateral surface area of a cube having an edge of 20cm?

How do you find the total volume of a cuboid?

We can simply find the volume of a cuboid by multiplying the base area with the height. Thus, If l is the length, b is the breadth and h is the height of a given cuboid, then the sum of areas of 6 rectangles of a cuboid provides the TSA of the cuboid.

How many faces does a cuboid have?

Like said, a cuboid is a 3-D geometrical object which consists of 6 rectangular faces. All angles of a cuboid are right angles and faces opposite to each other are equal. A cuboid is also known as a rectangular solid or a rectangular prism. In a cuboid, the length, width and height may be of different measurements.

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How do you find the lateral surface area of a cuboid?

Lateral Surface Area of a Cuboid The lateral surface area of a cuboid is the sum of 4 planes of a rectangle, leaving the top (upper) and the base (lower) surface. Mathematically, the Lateral Surface Area of a cuboid (LSA) is given as: Lateral Surface Area of a cuboid (LSA) = 2 (lh + wh) = 2 h (l + w) square units

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