Question

Sue is wrapping books to give as gifts. Book A has a length of 6.5 inches, a width of 1 inch, and a height of 8.5 inches. Book B has a length of 5.5 inches, a width of 2 inches, and a height of 8 inches. Based on surface area, which book will require less wrapping paper?(1 point) Responses Book A will require less wrapping paper because its surface area is 32.75 in.2 less than the surface area of Book B. Book A will require less wrapping paper because its surface area is 32.75 in.2 less than the surface area of Book B. Book B will require less wrapping paper because its surface area is 0.5 in.2 less than the surface area of Book A. Book B will require less wrapping paper because its surface area is 0.5 in.2 less than the surface area of Book A. Book A will require less wrapping paper because its surface area is 1.5 in.2 less than the surface area of Book B. Book A will require less wrapping paper because its surface area is 1.5 in.2 less than the surface area of Book B. Book B will require less wrapping paper because its surface area is 1.5 in.2 less than the surface

Answer 1

Book A has a surface area of 2*(6.5*1 + 6.5*8.5 + 1*8.5) = 2*(6.5+55.25+8.5) = 2*(70.25) = 140.5 in.2
Book B has a surface area of 2*(5.5*2 + 5.5*8 + 2*8) = 2*(11+44+16) = 2*(71) = 142 in.2

Therefore, Book A will require less wrapping paper because its surface area is 1.5 in.2 less than the surface area of Book B.