A construction company needs to dig a hole and fill it with gravel. The company has two options. The first is to dig a hole in the shape of a right rectangular prism that is 5 meters long, 3.5 meters wide, and 3 meters high and fill it with a gravel that costs $14.50 per cubic meter. The other option is to dig a hole in the shape of a right rectangular prism that is 4 meters long, 3 meters wide, and 3.5 meters high and fill it with a gravel that costs $15.75 per cubic meter. Which option will cost the construction company less to dig and fill? You must show your work

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
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
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A construction company needs to dig a hole and fill it with gravel. The company has two
options. The first is to dig a hole in the shape of a right rectangular prism that is 5 meters
long, 3.5 meters wide, and 3 meters high and fill it with a gravel that costs $14.50 per cubic
meter. The other option is to dig a hole in the shape of a right rectangular prism that is 4
meters long, 3 meters wide, and 3.5 meters high and fill it with a gravel that costs $15.75
per cubic meter. Which option will cost the construction company less to dig and fill? You
must show your work
Transcribed Image Text:A construction company needs to dig a hole and fill it with gravel. The company has two options. The first is to dig a hole in the shape of a right rectangular prism that is 5 meters long, 3.5 meters wide, and 3 meters high and fill it with a gravel that costs $14.50 per cubic meter. The other option is to dig a hole in the shape of a right rectangular prism that is 4 meters long, 3 meters wide, and 3.5 meters high and fill it with a gravel that costs $15.75 per cubic meter. Which option will cost the construction company less to dig and fill? You must show your work
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