CAN I GET ATLEAST 5 QUESTIONS BASED ON THE BELOW CRITERIA:
 
 
EACH SIDE OF A CUBE IS INCREASED BY 50%. FIND THE PERCENTAGE INCREASE IN THE SURFACE AREA OF THE CUBE.

Asked by mishra.25.reena | 12th Oct, 2015, 04:11: PM

Expert Answer:

begin mathsize 14px style Let space the space side space of space the space cube space equals space straight x space cm space Length space of space the space side space after space increase space by space 50 percent sign equals space straight x space plus open parentheses space straight x space cross times 50 over 100 close parentheses equals straight x space plus space straight x over 2 space equals space fraction numerator 3 straight x over denominator 2 end fraction space cm Total space surface space area space of space cube space equals space 6 straight x squared space... open parentheses formula close parentheses Total space surface space Area space of space original space cube space equals space 6 straight x squared space TSA space of space new space cube space after space increase space in space side space length space equals space 6 cross times open parentheses fraction numerator 3 straight x over denominator 2 end fraction close parentheses squared equals 6 cross times fraction numerator 9 straight x squared over denominator 4 end fraction equals fraction numerator 27 straight x squared over denominator 2 end fraction therefore Increase space in space surface space area space equals fraction numerator 27 straight x squared over denominator 2 end fraction minus space 6 straight x squared equals 7.5 straight x squared therefore Percentage space increase space in space surface space area space equals space fraction numerator 7.5 over denominator 6 end fraction cross times 100 space equals space 125 therefore Percentage space increase space in space surface space area space equals space 125 percent sign end style
 
To get questions of similar type, please go through the MCQs and subjective questions on the Topper learning site.

Answered by Priti Shah | 13th Oct, 2015, 12:00: PM