Tasks 1 The height of a regular quadrilateral pyramid is H = 9cm, and the base edge is a = 12cm. Calculate the area of the %3D %3D parallel section which is at a distance r = 3cm from the top. 2 The area of the base of a pyramid is 150 cm, the area of a parallel section is 54 cm, and the distance between them is 14 cm. Calculate the height of the pyramid date. 13 A triangular pyramid with base edges b cm, 11 cm and 15 cm is intersected by a plane parallel to the base and passing through the middle of the height. Calculate the area of the intersection. (4) The base edge of a regular hexagonal pyramid is a = 5cm, and the side edge with the plane of the base occupies an angle of 60°. Calculate the area of the largest Diagonal section. %3D

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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Tasks
1 The height of a regular quadrilateral
pyramid is H = 9cm, and the base edge is
a = 12cm. Calculate the area of the
%3D
parallel section which is at a distance r =
3cm from the top.
2 The area of the base of a pyramid is
150 cm, the area of a parallel section is
54 cm, and the distance between them is 14
cm. Calculate the height of the pyramid
date.
13 A triangular pyramid with base edges b cm,
11 cm and 15 cm is intersected by a plane
parallel to the base and passing through the
middle of the height. Calculate the
area of the intersection.
(4) The base edge of a regular hexagonal
pyramid is a =
with the plane of the base occupies an angle
of 60°. Calculate the area of the largest
Diagonal section.
5cm, and the side edge
Transcribed Image Text:Tasks 1 The height of a regular quadrilateral pyramid is H = 9cm, and the base edge is a = 12cm. Calculate the area of the %3D parallel section which is at a distance r = 3cm from the top. 2 The area of the base of a pyramid is 150 cm, the area of a parallel section is 54 cm, and the distance between them is 14 cm. Calculate the height of the pyramid date. 13 A triangular pyramid with base edges b cm, 11 cm and 15 cm is intersected by a plane parallel to the base and passing through the middle of the height. Calculate the area of the intersection. (4) The base edge of a regular hexagonal pyramid is a = with the plane of the base occupies an angle of 60°. Calculate the area of the largest Diagonal section. 5cm, and the side edge
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