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CBSE Class 9 Answered

If side of a cube is increase by 20% so how much percentage will its diagonal increase

Asked by sg871787 | 11 Jan, 2021, 08:01: AM
Expert Answer
Let the length of the side be a
if the side is increased by 20%
 then new side will be 1.2a
Now body diagonal of a cube is given by 
square root of 3 cross times s i d e
O l d space b o d y space d i a g o n a l equals square root of 3 a
N e w space b o d y space d i a g o n a l
square root of 3 x 1.2 a
p e r c e n t a g e space i n c r e a s e space w i l l space b e
fraction numerator square root of 3 x 1.2 a minus square root of 3 a over denominator square root of 3 a end fraction cross times 100
fraction numerator 1.2 a minus a over denominator a end fraction cross times 100
fraction numerator 0.2 a over denominator a end fraction cross times 100
equals 20 percent sign
Answered by Utkarsh Lokhande | 13 Jan, 2021, 03:55: PM
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