MEDIUM
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A solid piece of iron in the form of a cuboid of dimensions 49 cm×33 cm×24 cm is moulded to form a solid sphere. The radius of the sphere is 

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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 1: Area of square is 324 cm2, whose perimeter is equal to perimeter of rectangle. Length of the rectangle is 4 cm more than breadth of the rectangle. Find the area of rectangle.

Quantity 2: 320 cm2.

EASY
The internal diameter of a hollow hemispherical vessel is 24 cm. It is made of a steel sheet which is 0.5 cm thick. What is the total surface area (in cm2) of the vessel?
MEDIUM
A solid metallic cube of side 9 cm and a solid metallic cuboid having dimensions 5 cm, 13 cm and 31 cm are melted to form a single cube. How much (in ) is the cost to polish the new cube at a rate of 10 per cm2?
MEDIUM
The internal length, breadth and height of a cuboidal room are 12 m, 8 m and 10 m, respectively. The total cost (in ) of the whitewashing only all four walls of the room at the cost of 25 per m2, is _____.
EASY
What would be the area of a rectangle whose area is equal to the area of circle of radius 7 cm?
EASY

What are respectively the curved surface area and volume of a hemisphere of radius 21 cm?

(Take π=227)

EASY
Length of each equal side of an isosceles triangle is 10cm and the included angle between those two sides is 45°. Find the area of the triangle.
HARD
The dimensions of a luggage box are 80 cm, 60 cm and 40 cm. How many sq. cm of cloth is required to cover the box?
EASY
The internal and external radii of a hemispherical vessel are 6 cm and 7cm respectively. What is the total surface area (in cm2) of the vessel?
EASY
The curved surface area and the height of a right circular cylinder are 660 cm2 and 10 cm respectively. Find its diameter (in cm).
EASY
The height of a right circular cone is 24 cm and the radius of its base is 7 cm. What is the cost of painting the curved surface area of the cone at the rate of 6 per cm2?
MEDIUM
If the volume of a sphere is 4851 cm3, then its surface area (in cm2) is: (Take π=227)
EASY
The radius of a solid right circular cylinder is 6623% of its height. If height is h centimeters then its total surface area (in cm2) is:
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 A,curved surface area of hemisphere is B, area of the bottom of the bucket is C and total surface area of hemisphere is D, then total surface area of this model is _____

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EASY
The volume of a right circular cone is 1232 cm3 and its height is 24 cm. What is its curved surface area?
MEDIUM
The perimeter of rectangle whose length is 6 m more than its breadth, is 84 m. What will be the area of rectangle?
EASY
The radius of a sphere is doubled. The percentage of increase in its surface area is?
EASY
The area of a square field is 196sq.m. What would be the length of the rope required to fence the field from any three sides?