A square based pyramid and a cone both have the same height of 12 in. and the same base area. The volume of the cone is 3768 in.³ Based on the concepts of Cavalieri's principle, what is the perimeter of the base of the pyramid? 12 in. AA HINT: Use the volume to find the area of the base. V = Bh. Use the area of the base to find the side length of the square. A-tw Use the side length of I square to find the perimeter, P = 21+2w A 70.88 in. 99.95 in B C

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
Section9.1: Prisms, Area And Volume
Problem 17E: For the right triangular prism found in Exercise 16, suppose that the sides of the triangular base...
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a square based pyramid and a cone both have the same height of 12in and the same base area. The volume of the cone is 3768in^3 based on the concepts of Cavalieri's principe, what is the perimeter of the base of the pyramid 

A square based pyramid and a cone both have the same height of 12 in. and the same
base area. The volume of the cone is 3768 in.
Based on the concepts of Cavalieri's principle, what is the perimeter of the base of the
pyramid?
12 in.
HAE PARLE DALT TART FALDA DHE DE
com a pa
HINT: Use the volume to find the area of the base. V = Bh.
Use the area of the base to find the side length of the square. À -lw
I
Use the side length of the square to find the perimeter, P = 21*2w
A
70.88 in.
99.95 in.
B
Transcribed Image Text:A square based pyramid and a cone both have the same height of 12 in. and the same base area. The volume of the cone is 3768 in. Based on the concepts of Cavalieri's principle, what is the perimeter of the base of the pyramid? 12 in. HAE PARLE DALT TART FALDA DHE DE com a pa HINT: Use the volume to find the area of the base. V = Bh. Use the area of the base to find the side length of the square. À -lw I Use the side length of the square to find the perimeter, P = 21*2w A 70.88 in. 99.95 in. B
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