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)%0D%0AResponses%0D%0A%0D%0ABook B will require less wrapping paper because its surface area is 0.5 in.2%0D%0A0.5%0D%0A %0D%0Ain.%0D%0A2%0D%0A less than the surface area of Book A.%0D%0A Book B will require less wrapping paper because its surface area is 0.5 in.2%0D%0A0.5%0D%0A %0D%0Ain.%0D%0A2%0D%0A less than the surface area of Book A.%0D%0A%0D%0ABook A will require less wrapping paper because its surface area is 1.5 in.2%0D%0A1.5%0D%0A %0D%0Ain.%0D%0A2%0D%0A less than the surface area of Book B.%0D%0ABook A will require less wrapping paper because its surface area is 1.5 in.2%0D%0A1.5%0D%0A %0D%0Ain.%0D%0A2%0D%0A less than the surface area of Book B.%0D%0A%0D%0ABook B will require less wrapping paper because its surface area is 1.5 in.2%0D%0A1.5%0D%0A %0D%0Ain.%0D%0A2%0D%0A less than the surface area of Book A.%0D%0A Book B will require less wrapping paper because its surface area is 1.5 in.2%0D%0A1.5%0D%0A %0D%0Ain.%0D%0A2%0D%0A less than the surface area of Book A.%0D%0A%0D%0ABook A will require less wrapping paper because its surface area is 32.75 in.2%0D%0A32.75%0D%0A %0D%0Ain.%0D%0A2%0D%0A less than the surface area of Book B.
To find the surface area of a rectangular prism, we use the formula:
Surface Area = 2(length * width) + 2(length * height) + 2(width * height)
For Book A:
Surface Area = 2(6.5 * 1) + 2(6.5 * 8.5) + 2(1 * 8.5)
Surface Area = 13 + 110.5 + 17
Surface Area = 140.5 in²
For Book B:
Surface Area = 2(5.5 * 2) + 2(5.5 * 8) + 2(2 * 8)
Surface Area = 22 + 88 + 32
Surface Area = 142 in²
Therefore, Book B will require less wrapping paper because its surface area is 0.5 in² less than the surface area of Book A.