MEDIUM
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A solid piece of iron in the form of a cuboid of dimensions is moulded to form a solid sphere. The radius of the sphere is
(a)
(b)
(c)
(d)
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Important Questions on Modeling with Geometry
MEDIUM
Calculate the surface area of the solid shown in the figure excluding the bottom surface:
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EASY
Quantity : Area of square is , whose perimeter is equal to perimeter of rectangle. Length of the rectangle is more than breadth of the rectangle. Find the area of rectangle.
Quantity : .
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EASY
The internal diameter of a hollow hemispherical vessel is . It is made of a steel sheet which is thick. What is the total surface area (in ) of the vessel?
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MEDIUM
A solid metallic cube of side and a solid metallic cuboid having dimensions and are melted to form a single cube. How much (in ) is the cost to polish the new cube at a rate of per ?
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EASY
The edge of a cube is cm. What is the total surface area of the cube?
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MEDIUM
The internal length, breadth and height of a cuboidal room are and , respectively. The total cost (in ) of the whitewashing only all four walls of the room at the cost of per , is _____.
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EASY
What would be the area of a rectangle whose area is equal to the area of circle of radius ?
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EASY
What are respectively the curved surface area and volume of a hemisphere of radius
(Take )
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EASY
Length of each equal side of an isosceles triangle is and the included angle between those two sides is . Find the area of the triangle.
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HARD
The dimensions of a luggage box are and . How many of cloth is required to cover the box?
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EASY
The internal and external radii of a hemispherical vessel are respectively. What is the total surface area (in ) of the vessel?
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EASY
The curved surface area and the height of a right circular cylinder are and respectively. Find its diameter (in ).
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EASY
The height of a right circular cone is and the radius of its base is . What is the cost of painting the curved surface area of the cone at the rate of
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MEDIUM
If the volume of a sphere is , then its surface area (in ) is: (Take )
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EASY
The radius of a solid right circular cylinder is of its height. If height is then its total surface area (in ) is:
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MEDIUM
In the following figure, hemisphere is placed at the bottom of the plastic bucket as shown in the figure. If curved surface area of the bucket is ,curved surface area of hemisphere is , area of the bottom of the bucket is and total surface area of hemisphere is , then total surface area of this model is _____
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EASY
The volume of a right circular cone is and its height is . What is its curved surface area?
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MEDIUM
The perimeter of rectangle whose length is more than its breadth, is . What will be the area of rectangle?
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EASY
The radius of a sphere is doubled. The percentage of increase in its surface area is?
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EASY
The area of a square field is sq.m. What would be the length of the rope required to fence the field from any three sides?
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