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.
A train 150 m long passes a pole in 15 seconds. What is its speed?
View QuestionIf x = 2 and y = 3, what is the value of (x^2 + y^2)?
View QuestionA rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?
View QuestionIf 2a + b = 10 and a - b = 4, what is the value of a?
View QuestionThe sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?
View QuestionIf sin(A) = 1/2 and A is acute, what is the value of A?
View QuestionIf two complementary angles differ by 30°, what are the angles?
View QuestionIf x + 1/x = 5, what is the value of x^2 + 1/x^2?
View QuestionIf a number is divisible by 9, it is also divisible by which of the following?
View QuestionWhat is the HCF of 48 and 180?
View Question