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.
If a:b = 5:7 and b:c = 6:11, what is a:c?
View QuestionIf the perimeter of a square is 40 cm, what is the area of the square?
View QuestionIf x^3 - 3x^2 + 4 = 0, what is one root of the equation?
View QuestionThe base of a triangle is 10 cm and its height is 6 cm. What is its area?
View QuestionThe sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?
View QuestionIf a = 2 and b = 3, what is the value of (a^2 + b^2)?
View QuestionIf 2x = 16, what is the value of x?
View QuestionIf x^2 - 6x + 9 = 0, what is the value of x?
View QuestionA man spends 75% of his income and saves Rs. 600. What is his total income?
View QuestionIf the sum of three consecutive integers is 72, what are the integers?
View Question