The measures of a textbook are ` 22cm xx 11cm xx 3cm`. It is to be covered with a brown paper. If each book requires ` 164 cm^2` of more paper for folding how much paper is required to wrap 85 such textbooks ?

Explanation

Given:
Length `(l)=22 cm`
Breadth `(b)=11 cm`
Height `(h)=3 cm`
Total Surface Area of three sides of text book `=(lb+lb+lh)`
Total Surface Area of three sides of text book`=(22xx11)+(22xx11)+(22xx3)`
Total surface Area of three sides of text book`=(242+242+66)cm^2`
Total Surface Area of three sides of text book`=550 cm^2`
Now,
Total Surface Area of brown paper`=`Total Surface Area of three sides of Text book`+164 cm²`
Total Surface Area of brown paper`=550 cm^2+164 cm^2`
Total Surface Area of brown paper`=714 cm^2`
Now,
Total Surface Area of `85` text books`=714xx85cm^2`
Total Surface Area of `85` text books`=60690 cm^2`
Hence, `60690cm^2` of paper is required to wrap `85` textbooks.