To determine the relation between surface areas and volumes of the given similar prisms.
Answer to Problem 29HP
Explanation of Solution
Given:
Two similar prisms
Height of larger prism
Height of smaller prism
Concept used:
If the two prisms are similar, then the ratio of the surface areas of the prisms equals the square of their scale factor.
If the two prisms are similar, then the ratio of the volumes of the prisms equals the cube of their scale factor.
Calculation:
Since the given two prisms are similar,
Scale factor
Surface area
Volume
Conclusion:
Therefore, the surface area of the larger prism is
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- 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