When making a book cover, Anwar adds an additional 20 square inches to the surface area to allow for overlap. How many square inches of paper will Anwar use to make a book cover for a book 11 inches long, 8 inches wide, and 1 inch high?

Respuesta :

Answer:

234 square inches

Step-by-step explanation:

We are given that

Length of book, l=11 in

Width of book, w=8 in

Height of book, h=1in

Additional area required to overlap=20 square inches

We have to find how many square inches of paper to make  cover of one book.

We know that surface area of cuboid

[tex]S=2(lb+bh+hl)[/tex]

Using the formula

Surface area of book

[tex]S=2(11\times 8+8\times 1+1\times 11)[/tex]

[tex]S=214 in^2[/tex]

Total paper used to make cover of one book

=Surface area of book +additional surface area

=[tex]214+20[/tex]

[tex]=234in^2[/tex]

Hence, Anwar will use paper to make cover of one book=234 square inches

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