Topic Details (Notes format)

How to Calculate the Diagonal of a Cuboid

Subject: Mathematics

Book: Maths Mastery

For a cuboid (rectangular prism), the space diagonal that stretches from one vertex to the opposite vertex is given by d = √(L² + W² + H²), where L, W, and H are length, width, and height. For instance, if a box is 3 m × 4 m × 12 m, the diagonal is √(3² + 4² + 12²) = √(9 + 16 + 144) = √169 = 13 m. This formula is used in warehouse logistics (checking if a box can fit diagonally), 3D geometry tasks, and advanced engineering designs requiring precise spatial measurements.

Practice Questions

What is the square root of 121?

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What is the square root of 144?

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A cube has a side length of 4 cm. What is its volume?

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If the perimeter of a square is 36 cm, what is the length of its diagonal?

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How many ways can 4 people sit in a row?

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If x^2 - 6x + 9 = 0, what is the value of x?

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The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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If the radius of a circle is 7 cm, what is its circumference?

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A number is increased by 20% and then decreased by 20%. What is the net change?

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