Concept explainers
Find the area of the inside of the pan that needs to be coated.
Answer to Problem 55SPR
Area of the inside of the pan that needs to be coated is
Explanation of Solution
Given:
A rectangular cake pan is 9 inches by 13 inches by 2 inches deep.
Formula Used:
The Lateral area L of a right prism is
L = Ph , where h is the height of the prism and P is the perimeter of a base.
Calculation:
The base of the pan is rectangle , whose length is 13 in. and width is 9 in.
Perimeter of the base of the rectangle= P = 2(13) + 2(9) = 26+18 = 44 in. [perimeter of rectangle = 2(length) + 2(width) ]
Lateral area = Ph
Substitute P = 44 , h = 2 ;
So , Lateral area = L =
The base is reactangle , whose length is 13 in. and width is 9 in.
Area of the base of the pan = B =
Area of the inside of the pan that needs to be coated. = L + B = 88 + 117 =
Hence ,
Area of the inside of the pan that needs to be coated is
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