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Test: Mensuration- 5 - Question 1

The radii of two spheres are in the ratio of 1 : 2. Find the ratio of their surface areas.

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Test: Mensuration- 5 - Question 2

Find the number of bricks, each measuring 25 cm × 12.5 cm × 7.5 cm, required to construct a wall 12 m long, 5 m high and 0.25 m thick, while the sand and cement mixture occupies 5% of the totalvolume of wall.

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Test: Mensuration- 5 - Question 3

In a shower, 10 cm of rain falls. What will be the volume of water that falls on 1 hectare area ofground?

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Test: Mensuration- 5 - Question 4

In a swimming pool measuring 90 m by 40 m, 150 men take a dip. If the average displacement ofwater by a man is 8 cubic metres, what will be rise in water level?

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Test: Mensuration- 5 - Question 5

Two cones have their heights in the ratio 1 : 2 and the diameters of their bases are in the ratio 2 :1. What will be the ratio of their volumes?

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Test: Mensuration- 5 - Question 6

A closed wooden box measures externally 10 cm long, 8 cm broad and 6 cm high. Thickness ofwood is 0.5 cm. Find the volume of wood used.

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Test: Mensuration- 5 - Question 7

Three cubes each of volume of 216 m3 are joined end to end. Find the surface area of the resultingfigure.

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Test: Mensuration- 5 - Question 8

The largest cone is formed at the base of a cube of side measuring 7 cm. Find the ratio of volumeof cone to cube.

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Test: Mensuration- 5 - Question 9

Find the radius of the circle inscribed in a triangle whose sides are 8 cm, 15 cm and 17 cm.

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Test: Mensuration- 5 - Question 10

A cube whose edge is 20 cm long has circle on each of its faces painted black. What is the totalarea of the unpainted surface of the cube if the circles are of the largest area possible?

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Test: Mensuration- 5 - Question 11

In the adjacent figure, find the area of the shaded region. (Use = 22/7)

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Test: Mensuration- 5 - Question 12

The perimeter of a sector of a circle of radius 5.7 m is 27.2 m. Find the area of the sector.

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Test: Mensuration- 5 - Question 13

A circular tent is cylindrical to a height of 3 metres and conical above it. If its diameter is 105 mand the slant height of the conical portion is 53 m, calculate the length of the canvas 5 m wide tomake the required tent.

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Test: Mensuration- 5 - Question 14

If the curved surface area of a cone is thrice that of another cone and slant height of the secondcone is thrice that of the first, find the ratio of the area of their base.

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Test: Mensuration- 5 - Question 15

Two circles touch internally. The sum of their areas is 116p cm^{2} and distance between theircentres is 6 cm. Find the radii of the circles.

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