Points D, E and F are on the sides AB, BC and AC, respectively, of triangle ABC such that AE, BF and CD bisect ∠A, ∠B and ∠C, respectively. If AB = 6 cm, BC = 7 cm and AC = 8 cm, then what will be the length of BE?
ABC is a triangle, PQ is line segment intersecting AB in P and AC in Q and PQ II BC. The ratio of AP : BP = 3 : 5 and length of BC is 48 cm. The length of PQ is:
The areas of two similar triangles are 144 cm2 and 196 cm2 respectively. If the longest side of the smaller triangle is 24 cm, then find the longest side of the larger triangle.
The sides of two similar triangles are in the ratio 9 ∶ 4. Areas of these triangles are in the ratio
ഒരു വൃത്തത്തിൻ്റെ വൃത്ത പരിധിയും (ചുറ്റളവ്) പരപ്പളവ് (വിസ്തീർണ്ണം) ഇവ തുല്യമായാൽ അതിൻ്റെ വ്യാസം എത്ര?
5.25 മീറ്റർ നീളത്തിലും 5.10 മീറ്റർ വീതിയിലും ആയി ചതുരാകൃതിയിലുള്ള ഒരു തറ പൂർണമായും മൂടാൻ ആവശ്യമായ ഏറ്റവും കുറഞ്ഞ ചതുര ടൈലുകളുടെ എണ്ണം എത്രയാണ് ?
ഒരു സമഭുജ സാമാന്തരികന്റെ ഒരു വികർണത്തിന്ടെ നീളം 18 cm ഉം അതിന്ടെ പരപ്പളവ് (വിസ്തീർണ്ണം) 216cm² ഉം ആയാൽ രണ്ടാമത്തെ വികർണ്ണത്തിന്റെ നീളം എന്തായിരിക്കും ?
40m നീളവും 30m വീതിയുമുള്ള ഒരു ചതുരത്തിന്റെ ചുറ്റളവ് , ഒരു സമചതുരത്തിന്ടെ ചുറ്റളവിനോട് തുല്യമായാൽ ആ സമചതുരത്തിന്ടെ വശം എത്രയായിരിക്കും?
If the length, breath and height of room are 25 m, 15 m and 30 m, respectively, then what will be the area (in m³) of the four walls of the
room?
A cylindrical rod has an outer curved surface area of 8800 cm² . If the length of the rod is 87 cm, then the outer radius (in cm) of the rod, correct to two places of decimal, is: (π=22/7)
The base of a parallelogram is increased by 8% and height is increased by 4%. Find the net increase percentage in its area.
If the radius of the base of a right circular cylinder is decreased by 20% and its height is increased by 134%, then what is the percentage increase (closest integer) in its volume?
The area of the curved surface of a cone is 195π . If the slant height of the cone is 12 cm, find the radius of the base
If the radius of the base of a right circular cylinder is decreased by 46% and its height is increased by 270%, then what is the percentage increase (closest integer) in its volume?
The radius of the base of a solid cone is 21 cm and its height is 9 cm. What is the volume of the cone?
A conical canvas tent with height 14 units and radius 7 units requires__________________ square units of canvas to make.
A clay cylinder of height 42 cm is converted into a cone of the same radius as that of the cylinder. If the volume of the cylinder is 52,800 cm3 , then the radius (in cm) of the cone is:(Use π =22/7)
The length of a rectangular garden is 20 m and its breadth is 8 m. Find the length of the diagonal of a square garden having the same area as that of the rectangular garden.
The height of a conical vessel is 7 cm. If its capacity is 6.6 litres of milk. Find the diameter of its base.
If the radius of the base of a right circular cylinder is decreased by 24% and its height isincreas ed by 262%, then what is the percentage increase (closest integer) in its volume?
The areas of three surfaces of a cuboid are 10 m², 18 m² and 20 m². What is the volume (in m³) of the cuboid?
One side of a parallelogram is 24 cm and the corresponding altitude is 6 cm. Find the area of the parallelogram.
Find the diameter of a cone whose volume and height are 3696 cubic units and 18 units, respectively. (π=22/7)
A birthday cap is in the form of a right circular cone of base radius 6 cm and height 8 cm. Find the area of the paper sheet required to make 15 such caps. (π =3.14)
The areas of a rectangular garden and a square garden are equal. If the length and the breadth of the first garden are 32 m and 8 m, then find the perimeter of the square garden
If the radius of the base of a right circular cylinder is decreased by 27% and its height is increased by 237%, then what is the percentage increase (closest integer) in its volume?
A cuboid has dimensions of length 10 cm, width 5 cm and height 8 cm. A cube with side length 5 cm is cut out from one of the faces of the cuboid. What is the remaining volume of the cuboid?
In ∆LMN, medians MX and NY are perpendicular to each other and intersect at Z. If MX = 20 cm and NY = 30 cm, what is the area of ∆LMN (in cm² )?
The sum of the length, width and depth of a cuboid is 8 cm and its diagonal is 5 cm.
What is its surface area?
A solid metallic hemisphere of radius 5.4 cm is melted and recast into a right circular cylinder of radius 12 cm. What is the height (in cm) of the cylinder?