Concept explainers
Find the lateral area and surface area given cereal container.
Answer to Problem 17PPS
L =
S =
Explanation of Solution
Given:
Formula Used:
The Lateral area L is
L = Ph , where h is the height of the prism and P is the perimeter of a base.
The Surface area S is
S = L + 2B , where L is its Lateral area and B is the area of a base.
Calculation:
The base of the container is a rectangle , whose length is 18.6 cm and width is 7 cm.
Perimeter of the base = P =2(length + width ) = 2 (18.6 +7 ) = 51.2 cm.
Lateral area = Ph
Substitute P = 51.2 , h = 29 ;
So , Lateral area = L =
Area of the base = B =
Surface area of container = L + 2B = 1484.8+2(130.2) = 1484.8+260.4 =
Hence ,
L =
S =
Chapter 12 Solutions
Geometry, Student Edition
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