Question

एक घनाभ की लंबाई १०% बढ़ जाती है चौडाई की २०% बढ़ जाती है और घनाव की उचाई 14%घट जाती है घनाव के अपतन के % मे परिवर्तन ज्ञात करे ​

Answer 1

Step-by-step explanation:

$\huge\pink{Answer}$

Let length be L

breadth B

hight H

$vol. = length \times breadth \times hight \\ = L\times B \times H$

Now if length is increased by 10%

then new length= L+ 10% of L

= 1.1 L

similarly new Breadth = B+ 20%of B

= 1.2 B

New hight = H- 14% of H

= 0.86 H

New vol.

$= </strong><strong>1.1L</strong><strong> \times </strong><strong>1.2B</strong><strong> \times </strong><strong>0.86H</strong><strong> \\ = 1.1352 \times </strong><strong>L</strong><strong>\times </strong><strong>B</strong><strong>\times </strong><strong>H</strong><strong>$

Now change in volume

$</strong><strong>(</strong><strong>1.1352 \times </strong><strong>L</strong><strong> </strong><strong>×</strong><strong>B</strong><strong> \times </strong><strong>H</strong><strong>)</strong><strong> - </strong><strong>(</strong><strong>L</strong><strong> \times </strong><strong>B</strong><strong> \times </strong><strong>H</strong><strong>)</strong><strong> \\ = 0.1352 \times </strong><strong>L</strong><strong> \times </strong><strong>B</strong><strong> \times </strong><strong>H</strong><strong>$

Change in vol% =

$\frac{</strong><strong>(</strong><strong>0.1352 \times </strong><strong>L</strong><strong> </strong><strong>×</strong><strong>B</strong><strong> </strong><strong>×</strong><strong> </strong><strong>H</strong><strong> </strong><strong>)</strong><strong>}{</strong><strong>L</strong><strong> \times </strong><strong>B</strong><strong> \times </strong><strong>H</strong><strong>} \times 100 \\ 13.52\%$

Thank you.