Square pyramids A and B are similar. In pyramid A, each base edge is 10 cm. In pyramid B, each base edge is 5 cm and the volume is 25 cm cubed. a. Find the volume of pyramid A. b. Find the ratio of the surface area of A to the surface area of B. c. Find the surface area of each pyramid.
Square pyramids A and B are similar. In pyramid A, each base edge is 10 cm. In pyramid B, each base edge is 5 cm and the volume is 25 cm cubed. a. Find the volume of pyramid A. b. Find the ratio of the surface area of A to the surface area of B. c. Find the surface area of each pyramid.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 23E
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Question
Square pyramids A and B are similar. In pyramid A, each base edge is
10 cm. In pyramid B, each base edge is 5 cm and the volume is 25 cm cubed.
a. Find the volume of pyramid A.
b. Find the ratio of the surface area of A to the surface area of B.
c. Find the surface area of each pyramid.
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