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

If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

View Question

What is the remainder when 5^100 is divided by 3?

View Question

The sides of a triangle are 7, 24, and 25. Is this a right triangle?

View Question

What is the LCM of 15 and 20?

View Question

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

View Question

If 2x - 3 = 7, what is the value of x?

View Question

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

View Question

A man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?

View Question

If 5x - 2 = 13, what is the value of x?

View Question

What is the sum of all even numbers between 1 and 50?

View Question