Question

Find the approximate increase in the volume of a cube when the length of its edge increases by 0.2 cm and its edge has length 10 cm.

Answer 1

Answer:

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Answer 2

Answer:

6.1208%

Step-by-step explanation:

In the question,

Volume of the cube is given by, V = $a^{3}$

where, a is the edge length of the cube.

Length of the edge of the cube, l = 10 cm

Increase in the length of the edge of the cube = 0.2 cm

So,

Final edge length = 10.2 cm

So,

Initial volume = $10^{3} = 1000cm^{3}$

Final volume = $10.2^{3}=1061.208cm^{3}$

∴ Increase in the Volume of the cube = (Final Volume - Initial Volume)/Initial Volume

So,

Percentage increase in Volume = $\frac{1061.208-1000}{1000}\times 100=6.1208$%

Therefore, the percent increase in the volume of the cube = 6.1208%