Mensuration — practice questions, page 5
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A hollow metal ball has an external radius of 6 cm and an internal radius of 3 cm. What is the…A right circular cone and a right circular cylinder hold exactly the same amount, and the cone's…A solid wooden cube of edge 10 cm has a small cube of edge 3 cm sawn away from one of its corners.…A cylindrical water tank of internal radius 70 cm stands full, with water 3 m deep. It is drained…A hall is 15 m long, 10 m wide and 4 m high. Its four walls and its ceiling are to be distempered,…The longest straight rod that fits inside a cubical carton measures 15√3 cm. What is the carton's…A rectangular plot covers 60 square metres and its diagonal measures 13 m. What is the length of…A sector cut from a circular sheet has a central angle of 40°, and the total distance right round…A brass washer is the piece of metal lying inside a 120° sector of a circle of radius 9 cm but…A trapezium-shaped plot has an area of 630 square metres. The perpendicular distance between its…A triangular park has sides of 25 m, 39 m and 56 m. A circular fountain of the largest possible…A regular octagonal tabletop has a side of 15 cm, and the perpendicular from its centre to the…A rectangular carrier for a microchip measures 45 mm by 32 mm. What is its area in square…A cylindrical drum of internal radius 35 cm holds cooking oil to a depth of 1.2 m. How many litres…A length of metal tubing is 20 cm long. Its outer radius is 5 cm and its inner radius is 4 cm, and…A glass paperweight is shaped like a right pyramid standing on a square base of side 12 cm, with a…A marquee is a right pyramid on a square base of side 24 m, and each of its four triangular faces…A spherical balloon is inflated until its radius is 20% greater than before. By what percentage…A rectangular tin sheet measuring 44 cm by 22 cm is curled into a tall open cylinder by bringing…A wooden block measuring 14 cm by 14 cm by 20 cm has a cylindrical hole of radius 3.5 cm bored…A solid cone is separated into two pieces by a straight cut parallel to its base, made exactly…A parallelogram-shaped signboard has adjacent sides of 24 cm and 18 cm. The perpendicular distance…An equilateral traffic sign has an altitude of 12√3 cm. What is its area, in square cm?A grain silo is a cylinder of radius 5 m standing 12 m tall, capped by a cone of the same radius…A chocolate box is a prism 25 cm long whose two ends are equilateral triangles of side 6 cm. What…
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