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On each face of a cuboid, the sum of its perimeter and its area is written. Among the six numbers so written, there are three distinct numbers and they are 16, 24 and 31. The volume of the cuboid lies between

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Important Questions on Mensuration

EASY
Mathematics>Geometry>Mensuration>Mensuration 3D

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
Mathematics>Geometry>Mensuration>Mensuration 3D
Find the total surface area (in cm2) of a right circular cylinder of diameter 21 cm and height 10 cm.
MEDIUM
Mathematics>Geometry>Mensuration>Mensuration 3D
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:
EASY
Mathematics>Geometry>Mensuration>Mensuration 3D
The radius of a sphere is doubled. The percentage of increase in its surface area is?
MEDIUM
Mathematics>Geometry>Mensuration>Mensuration 3D
The curved surface area of a cylindrical pillar is  264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height. 
MEDIUM
Mathematics>Geometry>Mensuration>Mensuration 3D

The length and breadth of a rectangular sheet are 48 m and 36 m respectively. A square is cut off from each of its corners, so that an open box be made. If the side of square be 16m, what will be the volume of the box so formed (in cubic m)? 

(A) 1,024 

(B) 1,224 

(C) 1,324 

(D) 1,124 

EASY
Mathematics>Geometry>Mensuration>Mensuration 3D
The curved surface area and the diameter of a right circular cylinder are 660 cm2 and 21 cm. respectively. Find its height (in cm).
HARD
Mathematics>Geometry>Mensuration>Mensuration 3D
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
Mathematics>Geometry>Mensuration>Mensuration 3D
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
Mathematics>Geometry>Mensuration>Mensuration 3D
Find the curved surface area (in cm2 ) of right circular cylinder of diameter 21 cm and height 10 cm.
EASY
Mathematics>Geometry>Mensuration>Mensuration 3D
The edge of a cube is 8 cm. What is the total surface area of the cube?
HARD
Mathematics>Geometry>Mensuration>Mensuration 3D
Suppose the height of a pyramid with a square base is decreased by p% and the lengths of the sides of its square base are increased by p% (where p>0 ). If the volume remains the same, then
EASY
Mathematics>Geometry>Mensuration>Mensuration 3D
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
Mathematics>Geometry>Mensuration>Mensuration 3D
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? 
MEDIUM
Mathematics>Geometry>Mensuration>Mensuration 3D
A spherical ball of the lead of radius 14 cm is melted and recast into spheres of radius 2 cm. The number of the small sphere is:
EASY
Mathematics>Geometry>Mensuration>Mensuration 3D
A solid cylinder of base radius 12 cm and height 15 cm is melted and recast into x toys each in the shape of a right circular cone of height 9 cm mounted on a hemisphere of radius 3 cm. The value of x is:
EASY
Mathematics>Geometry>Mensuration>Mensuration 3D
A tank is in the form of a cuboid with length 12 m. If 18 kilolitre of water is removed from  water level goes down by 30 cm. What is the width (in m ) of the tank?
EASY
Mathematics>Geometry>Mensuration>Mensuration 3D
The curved surface area and the height of a right circular cylinder are 660 cm2 and 10 cm respectively. Find its diameter (in cm).
HARD
Mathematics>Geometry>Mensuration>Mensuration 3D
Consider a cuboid all of whose edges are integers and whose base is square. Suppose the sum of all its edges is numerically equal to the sum of the areas of all its six faces. Then the sum of all its edges is.
MEDIUM
Mathematics>Geometry>Mensuration>Mensuration 3D
A well of diameter 3 m is dug 14 m deep. The Earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.