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 8 has a length of 55 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)
Book B will require lesa wrapping paper because its surface area is 1.5 in. less than the surface area of Book A
Book B will require less wrapping paper because its surface area is 0.5 in. less than the surface area of Book A
Book All require less wrapping paper because As surface area is 32.75 ln ^ 2 less than the surface ansa of Book B
O Book A will require less wrapping paper because its surface area is 1.5 ln.^ 2 less than the surface area of Book B
To find the surface area of a rectangular prism, you need to calculate the sum of the areas of all six faces. The formula for surface area is:
Surface Area = 2lw + 2lh + 2wh
For Book A, the dimensions are:
Length (l) = 6.5 inches
Width (w) = 1 inch
Height (h) = 8.5 inches
Plugging these values into the surface area formula, we get:
Surface Area of Book A = 2(6.5)(1) + 2(6.5)(8.5) + 2(1)(8.5)
= 13 + 110.5 + 17
= 140.5 square inches
For Book B, the dimensions are:
Length (l) = 55 inches
Width (w) = 2 inches
Height (h) = 8 inches
Plugging these values into the surface area formula, we get:
Surface Area of Book B = 2(55)(2) + 2(55)(8) + 2(2)(8)
= 220 + 880 + 32
= 1132 square inches
Comparing the surface areas, we see that Book B requires more wrapping paper because its surface area is greater than that of Book A.
Therefore, the correct answer is:
Book A will require less wrapping paper because its surface area is 1.5 square inches less than the surface area of Book B.