ABCDV is a solid glass pyramid. The base of the pyramid is a square of side 3.2 cm. The vertical height is 2.8 cm. The vertex V is directly above the centre O of the base (a) Calculate the volume of the pyramid. (b) The glass weighs 9.3 grams per cm3. Calculate the weight of the pyramid. (c) Show that the length of the sloping edge VC of the pyramid is 3.6 cm. (d) Calculate the angle at the vertex, . (e) Calculate the total surface area of the pyramid.
ABCDV is a solid glass pyramid. The base of the pyramid is a square of side 3.2 cm. The vertical height is 2.8 cm. The vertex V is directly above the centre O of the base (a) Calculate the volume of the pyramid. (b) The glass weighs 9.3 grams per cm3. Calculate the weight of the pyramid. (c) Show that the length of the sloping edge VC of the pyramid is 3.6 cm. (d) Calculate the angle at the vertex, . (e) Calculate the total surface area of the 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.CR: Review Exercises
Problem 12CR
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ABCDV is a solid glass pyramid. The base of the pyramid is a square of side 3.2 cm. The vertical height is 2.8 cm. The vertex V is directly above the centre O of the base
(a) Calculate the volume of the pyramid.
(b) The glass weighs 9.3 grams per cm3. Calculate the weight of the pyramid.
(c) Show that the length of the sloping edge VC of the pyramid is 3.6 cm.
(d) Calculate the angle at the vertex, .
(e) Calculate the total surface area of the pyramid.
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