A woodworker is constructing a table with legs shaped like oblique square prisms. The height of the finished table is 29 inches from the floor to the bottom of the tabletop, and the legs are 2 inches square. 1. What volume of wood is needed to construct the four legs of the table? 2. The customer contacted the woodworker and said they wanted to change the table, so it has three triangular legs instead of four square legs. The bases of the legs are to be isosceles triangles with 3-inch congruent sides and a 1.5-inch base. Will the woodworker need more or less wood than for the square legs? By how much? Round your answers to the nearest tenth of a unit.
A woodworker is constructing a table with legs shaped like oblique square prisms. The height of the finished table is 29 inches from the floor to the bottom of the tabletop, and the legs are 2 inches square. 1. What volume of wood is needed to construct the four legs of the table? 2. The customer contacted the woodworker and said they wanted to change the table, so it has three triangular legs instead of four square legs. The bases of the legs are to be isosceles triangles with 3-inch congruent sides and a 1.5-inch base. Will the woodworker need more or less wood than for the square legs? By how much? Round your answers to the nearest tenth of a unit.
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 33E
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Transcribed Image Text:A woodworker is constructing a table with legs shaped like oblique square prisms. The height of
the finished table is 29 inches from the floor to the bottom of the tabletop, and the legs are 2
inches square.
1. What volume of wood is needed to construct the four legs of the table?
2. The customer contacted the woodworker and said they wanted to change the table, so it has
three triangular legs instead of four square legs. The bases of the legs are to be isosceles
triangles with 3-inch congruent sides and a 1.5-inch base. Will the woodworker need more or
less wood than for the square legs? By how much? Round your answers to the nearest tenth
of a unit.
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