The diagonals of three faces of a rectangular parallelepiped that meet at a single corner measure √5 cm, √10 cm, and √13 cm. What is the volume of this parallelepiped? Mensuration Asked in: SSC, CGL MAINS 2026 View Solution
In an equilateral triangle the circumcenter coincide with which of the following? Mensuration Asked in: SSC, CGL MAINS 2026 View Solution
In a right-angled triangle ABC, ∠B = 90°. If AB = 6 cm and BC = 8 cm, what is the distance between the centroid (G) and the orthocenter (H)? Mensuration Asked in: CGL MAINS 2026, SSC View Solution
A rectangle has area 48 cm² and perimeter 28 cm. If the midpoints of the sides are joined to form a rhombus, what is the area of the rhombus? Surface Area and Volume Asked in: CGL MAINS 2026, SSC View Solution
A chord of a circle subtends an angle of 60° at the circumference of the circle. What is the ratio of the radius of the circle to the length of the chord respectively? Circle Asked in: SSC, CGL MAINS 2026 View Solution
In a triangle △PQR, ∠R = 62°. The perpendicular bisector of PQ at S meets QR at T. If ∠TPR = 38°, what is the measure of ∠PQR? Mensuration Asked in: SSC, CGL MAINS 2026 View Solution
In a right-angled triangle ABC, ∠B = 90°. If AB = 6 cm and BC = 8 cm, what is the distance between the centroid (G) and the orthocenter (H)? Mensuration Asked in: SSC, CGL MAINS 2026 View Solution
The base of a right pyramid is an equilateral triangle with side 10 cm, and its vertical height is 24 cm. Find the volume (in cm³) of the pyramid. Mensuration Asked in: SSC, CGL MAINS 2026 View Solution
A hemispherical tank is full of water. It is connected to a pipe that empties it at a rate of 7 litres per second. How much approximate time (in minutes) will it take to empty half the tank if the internal radius of the tank is 2.1 meters? (Use π = 22/7 and 1 m³ = 1000 liters) Mensuration Asked in: SSC, CGL, CGL MAINS 2026, CHSL View Solution
The diagonals of three faces of a rectangular parallelepiped that meet at a single corner measure √5 cm, √10 cm, and √13 cm. What is the volume of this parallelepiped? Mensuration Asked in: SSC, CGL MAINS 2026 View Solution