Calculate volume using double integrals

• leslie8167
In summary, the volume of the barn can be computed using double integrals by treating the barn as a trapezoidal prism with a rectangular base of 20 ft by 40 ft and vertical walls 30 ft high at the front and 40 ft high at the rear. The floor/base should be placed along the x and y-axis, with the roof extending in the z direction.

leslie8167

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.

leslie8167 said:
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.
Didn't you read the information you were supposed to have read when you signed up for this forum?

You try, yourself, first. Show us what you have tried to do first and then we will help you.

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...