The side of a cube measures 0-12 cm- The volume of this cube will be equal toA- 0-001872B- 0-001728C- 0-001872D- 0-001782

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The side of a cube measures 0.12cm. The volume of this cube will be equal to

0.001872

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0.001728

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0.001872

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0.001782

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Solution

The correct option is B
0.001728

The volume of any cube having side 'a' is given by $a^{3}$

So, the volume of the cube having side 0.12 will be given by ${0.12}^{3}$ = $0.12 \times 0.12 \times 0.12$

= $\frac{12}{100} \times \frac{12}{100} \times \frac{12}{100} = \frac{1728}{1000000}$

= 0.001728

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Similar questions

Q. A solid cube of side

12 c m

is cut into eight cubes of equal volume. What will be the side of the new 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

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.

Q. 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.

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.

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The side of a cube measures 0.12cm. The volume of this cube will be equal to

The correct option is B 0.001728 The volume of any cube having side 'a' is given by a3 So, the volume of the cube having side 0.12 will be given by 0.123 = 0.12×0.12×0.12 = 12100×12100×12100=17281000000 = 0.001728

The correct option is B
0.001728

The volume of any cube having side 'a' is given by $a^{3}$

So, the volume of the cube having side 0.12 will be given by ${0.12}^{3}$ = $0.12 \times 0.12 \times 0.12$

= $\frac{12}{100} \times \frac{12}{100} \times \frac{12}{100} = \frac{1728}{1000000}$

= 0.001728