MEDIUM
10th Manipur Board
IMPORTANT
Earn 100

A solid cube is cut into two cuboids of equal volumes. Find the ratio of the total surface area of the given cube to that of one of the cuboids. 

Important Questions on Mensuration

MEDIUM
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 12 - Mensuration>EXERCISE 12.5>Q 2
A sphere has the same surface area as the curved surface of a cone of height 16 cm and base radius 12 cm. Find the radius of the sphere.
 
HARD
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 12 - Mensuration>EXERCISE 12.5>Q 3
A solid metallic cone is 81 cm high and radius of its base is 6 cm. If it is melted and recast into a solid sphere, find the curved surface area of the sphere. 
MEDIUM
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 12 - Mensuration>EXERCISE 12.5>Q 4
A solid metallic sphere of diameter 28 cm is melted and recast into a number of cones, each of diameter 7 cm and height 4 cm. Find the number of cones so formed. 
HARD
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 12 - Mensuration>EXERCISE 12.5>Q 5
The internal and external radii of a hollow metallic sphere are 3 cm and 5 cm respectively. If the sphere is melted and recast into a solid cylinder of height 223 cm, find the curved surface area of the cylinder. 
HARD
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 12 - Mensuration>EXERCISE 12.5>Q 6
A metallic cone of height 28 cm and radius of 12 cm, is melted and recast into a cylinder of height 913 cm. Find the curved surface area of the cylinder so formed.
HARD
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 12 - Mensuration>EXERCISE 12.5>Q 7
20 circular plates, each of radius 7 cm and thickness 1.5 cm are placed one above another to form a solid cylinder. Find the curved surface area and the volume of the cylinder so formed. 
 
HARD
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 12 - Mensuration>EXERCISE 12.5>Q 8
Find the volume of the largest sphere that can be carved out of a cube of side 4.2 cm. Also find the ratio of the volume of the cube to that of the sphere. 
 
MEDIUM
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 12 - Mensuration>EXERCISE 12.5>Q 9
Find the volume of the largest cone that can be carved out of a cube of side 16.8 cm.