NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 12: Surface Areas & Volumes - Exercise 12.1
Question 17

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.

NCERT Exemplar Solutions Class 10 – Mathematics – CHAPTER 12: Surface Areas & Volumes – Exercise 12.1 | Detailed Answers