An open, rectangular box with length of 6 feet, width of 4 feet, and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot. a) Find the cost of painting this open box. b) Find the weight of the water in the filled box.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
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An open, rectangular box with length of 6 feet, width of 4 feet, and height of 2.5 feet is to be painted on
all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special
coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water
that weighs approximately 62 pounds per cubic foot.
a) Find the cost of painting this open box.
b) Find the weight of the water in the filled box.
Transcribed Image Text:An open, rectangular box with length of 6 feet, width of 4 feet, and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot. a) Find the cost of painting this open box. b) Find the weight of the water in the filled box.
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