1. The diagonals of a cube intersect to divide the cube into six congruent pyramids as shown. The base of each pyramid is a face of the cube, and the height of each pyramid is te. a. Use the formula for the volume of a cube to explain why the volume of each pyramid is V = b. Use the formula in part (a) to show that V = This exercise shows that V = Bh gives the correct result for these pyramids.) te. ABh. (Note:

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 43E
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1. The diagonals of a cube intersect to divide the cube into six
congruent pyramids as shown. The base of each pyramid is a
face of the cube, and the height of each pyramid is te.
a. Use the formula for the volume of a cube to explain why the
volume of each pyramid is V =
b. Use the formula in part (a) to show that V =
This exercise shows that V = Bh gives the correct result
for these pyramids.)
te.
ABh. (Note:
Transcribed Image Text:1. The diagonals of a cube intersect to divide the cube into six congruent pyramids as shown. The base of each pyramid is a face of the cube, and the height of each pyramid is te. a. Use the formula for the volume of a cube to explain why the volume of each pyramid is V = b. Use the formula in part (a) to show that V = This exercise shows that V = Bh gives the correct result for these pyramids.) te. ABh. (Note:
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