Volume of a cube of side 6 cm is :

36 {cm}^{2}

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216 {cm}^{3}

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36 {cm}^{3}

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216 {cm}^{2}

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Solution

The correct option is B $216 {cm}^{3}$

Volume of a cube can be calculated using ${side}^{3}$ formula.
So, for a cube of side $6 cm$ , it will be $6 \times 6 \times 6 = 216 {cm}^{3}$

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Q. Question:

Question 8
A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.

Mathematics Surface Areas and Volumes Volume of Solids
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Solution:

Side(a) of the cube = 12 cm

Volume of the cube =(a)3=(12 cm)3=1728 cm3

Let the side of the smaller cube be a1.

Volume of 1 smaller cube =(17288)cm3=216 cm3(a1)3=216 cm3⇒a1=6 cm

Therefore, the side of the smaller cubes will be 6 cm.

Ratio between surface areas of cubes =Surface area of bigger cubeSurface area of Smaller cube=6×1226×62=(12)2(6)2=41

Therefore, the ratio between the surface areas of these cubes is 4:1.

my doubt is how this a1 got 6cm

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Volume of a cube of side 6 cm is :

The correct option is B 216 cm3 Volume of a cube can be calculated using side3 formula. So, for a cube of side 6 cm, it will be 6×6×6 = 216 cm3

The correct option is B $216 {cm}^{3}$

Volume of a cube can be calculated using ${side}^{3}$ formula.
So, for a cube of side $6 cm$ , it will be $6 \times 6 \times 6 = 216 {cm}^{3}$