The number of $4$ cubes which can he cut from a solid cube edge is $32$ , is :

8

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64

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256

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512

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Solution

The correct option is D $512$
Given edge of big cube is $32$ and edge of small cube is $4$
Let $n$ be the no of cubes
Since the volume remains constant
Volume of big cube = total sum of volume of small cubes
$⟹ (32)^{3} = n (4)^{3} ⟹ n = 512$

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Question 7
The lateral surface area of a cube is $256 m^{2}$ . The volume of the cube is:

A) $512 m^{3}$
B) $64 m^{3}$
C) $216 m^{3}$
D) $256 m^{3}$

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The number of 4 cubes which can he cut from a solid cube edge is 32, is :

The correct option is D 512Given edge of big cube is 32 and edge of small cube is 4Let n be the no of cubes Since the volume remains constantVolume of big cube = total sum of volume of small cubes⟹(32)3=n(4)3⟹n=512

The number of $4$ cubes which can he cut from a solid cube edge is $32$ , is :

The correct option is D $512$
Given edge of big cube is $32$ and edge of small cube is $4$
Let $n$ be the no of cubes
Since the volume remains constant
Volume of big cube = total sum of volume of small cubes
$⟹ (32)^{3} = n (4)^{3} ⟹ n = 512$