Question

एक धन की भुजा ५० प्रतिसत बड़ा दी जाये तो उसके आयतन में कितनी वर्दी हो गई

Answer 1

227.5% .
मान लो कि घन की भुजा 10 सेंटीमीटर
आयतन= a³= 1000cm³
, अगर भुजा 50% बढ़ा दी जाए तो भुजा = 10×150/100= 15cm
अब आयतन = 15³= 3375cm³
वेतन में वृद्धि प्रतिशत= आयतन में वृद्धि/पूर्व का आयतन×100= (3375-1000)/1000×100= 227.5%


कोई भी संख्या मानकर बना सकते हो.

Answer 2

The volume of cube is increased by 237.5%

Step-by-step explanation:

Let the side of the cube is x.

Then, the volume of the cube is V = x³

Now, its side is increased by 50%, then

new side = x + 50% of x

new side = x + 0.5x

new side = 1.5 x

Therefore, new volume of the cube is given by

$V'=(1.5x)^3\\\V'=3.375x^3$

Substituting, V = x³

$V'=3.375V\\\\\frac{V'}{V}=3.375$

Subtract 1 to both sides

$\frac{V'}{V}-1=3.375-1\\\\\frac{V'-V}{V}=2.375$

Multiply both sides by 100

$\frac{V'-V}{V}\times100=2.375\times100\\\\\%V=237.5\%$

Hence, volume of cube is increased by 237.5%

#Learn More:

The edge of a cube is increased by 20%.Find the percentage increase in the surface area of the cube

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