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How many cubes are there in the given figure.

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Important Questions on Geometry

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Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
The volumes of spheres A and B are in the ratio 125:64. If the sum of radii of A and B is 36 cm, then the surface area in cm2 of A is?
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Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

The curved surface area of a hemisphere with radius 7 cm is: 

(Takeπ=227)

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Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
If the radius of the right circular cylinder is decreased by 10%, and the height is increased by 20%, then the percentage increase/decrease in its volume is:
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Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
Which of the following solids has least number of faces?
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Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area?
EASY
Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
A metallic sphere of diameter 40 cm is melted into spheres of radius 0.5 cm. How many such small balls can be made?
HARD
Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
The circumference of the base of a conical tent is 66 m. If the height of the tent is 36 m, what is the area (in m2) of the canvas used in making the tent? (Take π=227)
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Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
The volume of two spheres are in the ratio 64:125. The the ratio of their surface areas is ____.
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Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
The radius of a sphere is reduced by 40%. By what percent will its volume decrease?
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Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
A sector of radius 10.5 cm with the central angle 120o, is folded to form a cone by joining the two bounding radii of the sector. What is the volume (in cm3) of the cone so formed?
EASY
Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
When the radius of a sphere is increased by 5 cm, its surface area increases by 704 cm2 . The diameter of the original sphere is ______. (Take π=227)
EASY
Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
The radius of a sphere is doubled. The percentage of increase in its surface area is?
EASY
Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
The ratio of the volumes of two right circular cylinders A and B is xy and the ratio of their heights is a : b. What is the ratio of the radii of A and B?
EASY
Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
Find the height of a cube whose volume is 330 cm3 and base area is 15 cm2.
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Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

The edge of a cube is 8 cm .What is the total surface area of the cube?

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Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
What is the volume (in cm3) of a sphere of diameter 18 cm (correct upto two decimal places)?
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Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
The total surface area of a solid cylinder is 1155 cm2.Its curved surface area is two-fifth of its total surface area.What is the height (in cm) of the cylinder?
HARD
Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

Consider two equivalent, triangular hollow prisms A and B made of thin glass plates and arranged with negligible spacing as shown in the figure. A beam of white light is incident on prism A from the left. Given that, the refractive index of water is inversely related to temperature, the beam to the right of prism B would not appear white, if

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EASY
Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
The edge of a cube is 8 cm. What is the total surface area of the cube?
EASY
Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes
The total surface area of a hemisphere is 1039.5 cm2. Find its diameter (in cm.).