Calculate volume using double integrals

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  • #1
What is the volume of a barn that has a rectangular base 20 ft by 40 ft, vertical walls 30 ft high at the front (which we assume is on the 20-ft side of the barn), and 40 ft high at the rear? The barn has a flat roof. Use double integrals to compute the volume.
 

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  • #2
HallsofIvy
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What is the volume of a barn that has a rectangular base 20 ft by 40 ft, vertical walls 30 ft high at the front (which we assume is on the 20-ft side of the barn), and 40 ft high at the rear? The barn has a flat roof. Use double integrals to compute the volume.
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  • #3
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I know this may slightly break the rules, but I will give you a hint: pretend the barn is a trapezoidal prism (an odd block, if you will). Put the floor/base along the plane that is created by the x and y axis (the roof will extend in the z direction). This will *help* set up the double integrals...
 
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