Volume of a cube is,where $l$ is side of cube ---

6 l^{2}

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l^{2}

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l^{3}

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None of these

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Solution

The correct option is B $l^{3}$
volume of cube = lll

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Similar questions

The volume of a cube is 1331 ${c m}^{3}$ . Find the length of the side of the cube.

Q. If l is the length of a diagonal of a cube of volume V, then

(a) 3V = l³

(b)

\sqrt{3} V = l^{3}

(c)

3 \sqrt{3} V = 2 l^{3}

(d)

3 \sqrt{3} V = l^{3}

Q. A cube whose volume is 1/8 cubic centimeter is placed on top of a cube whose volume is 1 cm³. The two cubes are then placed on top of a third cube whose volume is 8 cm³. The height of the stacked cubes is

(a) 3.5 cm

(b) 3 cm

(c) 7 cm

(d) none of these

Q. Count the

L

shape cubes with

3

cm side for each cube and also find the volume of a cube.

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 is,where l is side of cube ---

The correct option is B l3volume of cube = l*l*l

Volume of a cube is,where $l$ is side of cube ---

The correct option is B $l^{3}$
volume of cube = lll