Answer:
A) Total Surface Area = 164 sq. feet.
B) Radius = 4.5 inches
C) Diameter = 9 inches
Step-by-step explanation:
A)
A rectangular prism has 6 faces. Since bottom is not covered in frosting, we only need to find area of all the 5 faces (surfaces) and sum it.
<em>The length is 8, width is 11, and height is 2 (of the cake).</em>
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Hence, top surface is 8 * 11 = 88
There are 2 sides measuring 8 and 2. So area is 8*2= 16 *2 = 32
THere are other 2 sides measuring 11 and 2. So area is 11 * 2 = 22 * 2 = 44
Total surface area of the cake that has frosting = 88 + 32 + 44 = 164 sq. inches
B)
Top of the cylinder (pineapple cake) is covered in icing. Top is the shape of a circle, which has area , which is given as 63.585
Solving for radius (r), we get:
radius = 4.5 inches
C)
The diameter is <em>twice the length of the radius</em>.
The diameter is thus D = 2 * r
D = 2 * 4.5 = 9
Diameter = 9 inches