EASY
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What is the longest rod that can be placed in a room which is 7 metre long, 9 metre broad and 29 metre high?

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Important Questions on Geometry

HARD
A sphere is divided in 2 : 3. Big portion moulded into a cone of which base radius is equal to its height. While small portion moulded into a cylinder of which height is equal to base radius. Find the ratio of Base radius of cone and height of cylinder. 
EASY
Find the curved surface area (in cm2 ) of right circular cylinder of diameter 21 cm and height 10 cm.
EASY
If the perimeter of a semi-circle is 144 cm, find its radius (in cm).
EASY
Find the total surface area (in cm2) of a right circular cylinder of diameter 21 cm and height 10 cm.
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?
EASY
The length of the diagonal and the breadth of a rectangle is 25 cm and 7 cm respectively. Calculate its area (in cm2).
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).
MEDIUM
The length of each equal side of an isosceles triangle is 10 cm and the included angle between those two sides is 45°.Find the area of the triangle.
MEDIUM
The length of a rectangular field is increased by 20% and its breadth is decreased by 20%. What is the per cent increase or decrease in its area?
EASY
The radius of a circular field is 31.5 metres. What is the circumference?
EASY
The curved surface area and the diameter of a right circular cylinder are 660 cm2 and 21 cm. respectively. Find its height (in cm).
EASY
If three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single sphere, the diameter of the new sphere will be _____.
EASY
What is the area (in cm2) of a square having perimeter 84 cm?
EASY
The area of a semicircle is 77cm2. Calculate its perimeter in cm.
MEDIUM
A spherical ball of a lead of the radius 14 cm is melted and recast into spheres of the radius 2 cm.The number of small spheres is:
HARD
In order to measure the volume of irregular shaped stone, Peter kept the stone in a water filled pan having a radius of 5 cm. If the level of water in the pan increases from 10 cm to 17 cm, then what is the volume of the stone? 
EASY

By melting a solid cylinder of radius 3 cm and height 20 cm, five spherical balls each of same size are formed. Find the radius of each ball. 

(A) 2 cm

(B) 3 cm 

(C) 4 cm 

(D) 5 cm 

EASY

The perimeter and the breadth of a rectangle are 52 cm and 12 cm respectively. Find its area in cm2.

EASY

Question Image

What is the area of this trapezoidal garden (All measurements are in cm)? 

1. 60 sq.cm
2. 180 sq.cm
3. 210 sq.cm 
4. 240 sq.cm

HARD

A rectangular garden of length 12 m is surrounded by a 2 m wide path. If the area of the garden is 84 m2 and the cost of gravelling is 8 per m2, then what is the total cost of gravelling the path?