Rectangular & Trapezoidal Prism Volume Question

[RockyTheBull]

What is the volume of the following building?

• 1,944 cubic feet
• 7,393 cubic feet
• 7,128 cubic feet
• 6,678 cubic feet

Would someone mind showing how to calculate the volume and showing their work?

 

[Deleted member 4993]

What is the volume of the following building?

• 1,944 cubic feet
• 7,393 cubic feet
• 7,128 cubic feet
• 6,678 cubic feet

View attachment 21254

Would someone mind showing how to calculate the volume and showing their work?

Do you the formulae for the volume of a rectangular solid and the volume of a right cone with a rectangular base?

If I were to do this problem, I would have drawn a sketch of the solid where I would have completed the imaginary cone.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520​

Please share your work/thoughts about this problem.

 

[Dr.Peterson]

What is the volume of the following building?

• 1,944 cubic feet
• 7,393 cubic feet
• 7,128 cubic feet
• 6,678 cubic feet

View attachment 21254

Would someone mind showing how to calculate the volume and showing their work?

We have to make a number of assumptions about the shape. I presume you are told that this is a (isosceles) trapezoidal prism atop a rectangular prism.

Can you at least find the volume of the rectangular prism?

The hard part will be to find the height of the trapezoid; you can use the Pythagorean theorem for that, by drawing a separate picture including an altitude or two.

Whatever work you can show will help us see how to help best. We aren't going to just do it for you, as the purpose of exercises it to exercise your mind.