Answer:
round cake - 82.42 in^2
rectangular cake - 114 in^2
Round cake:
d = 7 in
r= d/2 = 7 in /2 = 3.5 in
h = 2
The surface area of a cylinder is: A = 2pie r^2 + 2pie rh The surface are of the round cake (cylindrical cake) excluding the bottom is
Area = 2pie r^2 + 2pie rh - pie r^2
Area = pie r^2 + 2pie rh
Area = 3.14 * 3.5² + 2 * 3.14 * 3.5 * 2
= 38.46 + 43.96
= 82.42 in^2
Rectangular cake:
w = 6 in |= 9 in h = 2 in
The surface area of a rectangle
A = 2wl + 2wh + 2lh
The surface are of the rectangular cake excluding the bottom is
A = 2wl + 2wh + 2lh - wl
A = wl + 2wh + 2lh
A = 6 * 9 + 2* 6 * 2 +2 *9 * 2
= 54 + 24 +36
= 114 in^2
