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Ayushree
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Asked: 2026-10-06T04:23:47+00:00 In:

A cube of integer side length a is made of unit cubes. Write an expression giving the number of unit cubes to be added to make a cube of side length a + 1.

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The volume increases from a³ to (a + 1)³. Subtracting the original volume gives (a + 1)³ − a³ = a³ + 3a² + 3a + 1 − a³ = 3a² + 3a + 1 unit cubes to be added.

Ganita Manjari Part 2  Class 9 Chapter 14 Step by Step Solutions
Class 9 Chapter 14 Math of Space Surface Area and Volume (Ganita Manjari 2) Solutions

class 9 ganita manjari part 2 exercise 14 solutionscube of integer side length a is made of unit cubesexpression giving the number of unit cubesnew book ganita manjari part 2 class 9 chapter 14 page 144 question answer
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    1. The initial cube of edge a has a volume of a³ unit cubes. The larger cube of side a + 1 requires a total volume of (a + 1)³ unit cubes. Expanding (a + 1)³ gives a³ + 3a² + 3a + 1. The number of unit cubes that must be added is the difference: (a + 1)³ − a³ = 3a² + 3a + 1.

       

      For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 14 Math of Space: Surface Area and Volume Question Answer (2026-27)

      https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-14/

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