ICSE Class 10 Answered

$begin mathsize 12px style From space straight a space cube space of space side space 1 space straight m space comma space straight a space cylinder space of space height space 1 space straight m space and space radius space 0.5 space straight m space is space carved out. space Find space the space total space surface space area space of space the space remaining space solid. end style$ Please provide solution to this question

Asked by Topperlearning User | 25 Oct, 2017, 01:16: PM

Expert Answer

$begin mathsize 12px style Total space surface space area space of space the space cube equals 6 cross times 1 cross times 1 equals 6 space straight m squared lateral space surface space area space of space the space cylinder equals 2 πrh equals 2 straight pi cross times 0.5 cross times 1 equals 22 over 7 space straight m squared area space of space the space base space of space the space cylinder equals πr squared equals 22 over 28 space straight m squared Total space surface space area space of space the space remaining space solid equals space Total space surface space area space of space the space cube plus lateral space surface space area space of space the space cylinder minus 2 left parenthesis area space of space the space base space of space the space cylinder right parenthesis equals 6 plus 22 over 7 minus 22 over 14 equals 7.57 space straight m squared end style$