Find the lateral area and surface area of prism.
Answer to Problem 15PPS
L =
S =
Explanation of Solution
Given:
The rectangular prism with length 25 cm , width 18 cm and height 12 cm .
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.
The Surface area S of a right prism is
S = L + 2B , where L is its Lateral area and B is the area of a base.
Calculation:
The base of the prism is a rectangle , whose length is 25 cm and width is 18 cm.
Perimeter of the base of the prism = P =2(length + width ) = 2 (25 +18 ) = 86 cm.
Lateral area = Ph
Substitute P = 86 , h = 12 ;
So , Lateral area = L =
Area of the base = B =
Surface area of prism = L + 2B = 1032+2(450) = 1032+900 =
Hence ,
L =
S =
Chapter 12 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Elementary Statistics: Picturing the World (6th Edition)
College Algebra (7th Edition)
Introductory Statistics (10th Edition)
Elementary Statistics: Picturing the World (7th Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning