A sculptor is planning to make two regular pentagonal prisms out of steel. The sculptor will use Pentagon ABCDE for the bases of one prism and Pentagon VWXYZ for the bases of the other prism. W 5 3.45 1.38 A В (a) Is Pentagon ABCDE similar to Pentagon VWXYZ? Explain. (b) Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume? How many times greater? Show your work. 2.
A sculptor is planning to make two regular pentagonal prisms out of steel. The sculptor will use Pentagon ABCDE for the bases of one prism and Pentagon VWXYZ for the bases of the other prism. W 5 3.45 1.38 A В (a) Is Pentagon ABCDE similar to Pentagon VWXYZ? Explain. (b) Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume? How many times greater? Show your work. 2.
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 37E
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Question
![A sculptor is planning to make two regular pentagonal prisms out of steel. The sculptor will use Pentagon
ABCDE for the bases of one prism and Pentagon VWXYZ for the bases of the other prism.
E.
5
3.45
2
1.38
A
Y
(a) Is Pentagon ABCDE similar to Pentagon VWXYZ? Explain.
(b) Suppose the sculptor makes both prisms with the same height. Which prism will have a greater
volume? How many times greater? Show your work.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7556737e-50cd-4f84-92dc-5c8813e1c436%2Fc83d2071-ed47-4ba5-a812-bf7d18207a7d%2F9iua29q_processed.png&w=3840&q=75)
Transcribed Image Text:A sculptor is planning to make two regular pentagonal prisms out of steel. The sculptor will use Pentagon
ABCDE for the bases of one prism and Pentagon VWXYZ for the bases of the other prism.
E.
5
3.45
2
1.38
A
Y
(a) Is Pentagon ABCDE similar to Pentagon VWXYZ? Explain.
(b) Suppose the sculptor makes both prisms with the same height. Which prism will have a greater
volume? How many times greater? Show your work.
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