Volume and Surface Area Questions

• Point P (8 , 5) is the midpoint of segment AB. Co-ordinates of A are (5, y) and B are (x, -3). What is the value of x?
• ΔABC is an equilateral triangle and D, E are midpoints of AB and BC respectively. Then the area of ΔABC : the area of the trapezium ADEC is
• In an isosceles triangle ABC, AB = AC, XY || BC. If ∡A = 30, then ∡BXY =
• What is the reflection of the point (5 , -1) in the line y = 2?
• Δ ABC is right angled at B. If m∠A = 30°. What is the length (in cm) of AB, if AC = 8 cm?
• The surface area of a sphere is 5544 cm2. Find its diameter (in cm).
• The line segment AB intersects the straight line CD at B; AB will be smallest when ∠ ABD (in degrees) is
• Δ PQR is right angled at Q. If m∠R = 60°, what is the length of PR (in cm), if RQ = 4√3 cm?
• ΔABC is isosceles having AB = AC and ∠A = 40°. Bisectors PO and OQ of the exterior angles ∠ABD and ∠ACE formed by producing BC on both sides, meet at O. Then the value of ∠BOC is
• A right triangular prism has equilateral triangle as its base. Side of the triangle is 15 cm. Height of the prism is 20√3 cm. What is the volume (in cm3) of the prism?
• The radius and height of a solid cylinder are increased by 2% each. What will be the approximate percentage increase in volume?
• A sphere of radius 21 cm is cut into 8 identical parts by 3 cuts (1 cut along each axis). What will be the total surface area (in cm2) of each part?
• The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
• An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
• The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
• The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
• The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
• A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:
• A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
• A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is: