NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 12: Surface Areas & Volumes - Exercise 12.1Question 17
Class 10 - Mathematics - CHAPTER 12: Surface Areas & Volumes - Exercise 12.1
Question. 17
During conversion of a solid from one shape to another, the volume of the new shape will
(A)
increase
(B)
decrease
(C)
remain unaltered
(D)
be doubled
Detailed Answer with Explanation:
Step 1: A solid is made of a certain amount of material. Example: If you have 100 cm³ of clay, that is the total material available.
Step 2: When we change the shape of the solid (say, from a cube to a sphere), we are only changing the form, not adding or removing any material.
Step 3: The volume means the amount of space the material occupies. Since the material is the same, the total space occupied will also remain the same.
Step 4: Therefore, during conversion from one shape to another, the volume of the solid remains unaltered.