Question

By what percent does the volume of a vube increase, if the lenght of each edge is increased by 50% ?​

Answer 1

Answer:

$\huge\underline\bold {Answer:}$

Let each edge of the cube be x cm.

Then, volume of the cube =

$x {}^{3} \: cm {}^{3}$

Length of the edge after increase = 150/100 x cm = 1.5x cm.

Therefore, increased volume

$= (1.5x) {}^{3} \: cm \\ 3.375 {x}^{3} cm {}^{3}$

Therefore % increase

$= (3.375 {x}^{3} - x {}^{3} ) \div {x}^{3}$

$= (2.375 \times 100)\% = 237.5\%$

Answer 2

Answer:

125 percent

Step-by-step explanation:

Ans : 125%

Solution:

Initial Volume of cube = a^3 ( a= side of cube)

Final volume = (3a/2)^3 = (27a^3 / 8)

Since each edge length is increased by 50%

Percentage of increase in volume

= (increase in volume / initial volume) × 100

= (( (27/8 -1) a^3) / a^3 ) × 100

= ( 19 / 8 )× 100

= 237.5%

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