Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

rachiesweet Group Title

An architect created a plan for a four story building with a central courtyard. The building measures 96 feet on each side. The courtyard measure 40 feet on a side. His clients asked him to work out an alternative design with the same volume but without the courtyard. Find the side length of such a building if it is designed as a four-story square prism. Any help would be wonderful thanks.

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. rachiesweet Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    the picture is sideways sorry

    • 2 years ago
  2. imagreencat Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Hi! :) Well, let's get the volume of the hollow prism first. Let h be the height of the building. The rectangular prism without the courtyard would has a volume of (96 ft)(96 ft)(h ft)=9216h ft^3. Now, with the courtyard, imagine cutting out the center of a sytrofoam box. The volume would then be the original minus the removed center. Therefore, the volume of the building WITH the courtyard would have to be VOL w/o courtyard - VOL of courtyard = VOL of initial plan of architect. The volume of the courtyard is (40 ft)(40 ft))(h ft)=1600h ft^3. VOL of initial plan, therefore, is 7616h ft^3. From there, we can answer the problem. The side length is asked. Without any courtyard, we want to achieve the same volume as before. Let s be the side length. 7616h ft^3 = (s ft)(s ft)(h ft) 7616h ft^3 = (s^2)(h) ft^3 7616 = s^2 s= sqrt (7616) ft

    • 2 years ago
  3. rachiesweet Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you soooooo much (:

    • 2 years ago
  4. imagreencat Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    You're welcome! :) Good luck with math!

    • 2 years ago
  5. rachiesweet Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    wait but isnt 96 the height of the building?

    • 2 years ago
  6. imagreencat Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I guessed 96 and 40 were the sides of the building. As in the sides of the square. Isn't that what the question means?

    • 2 years ago
  7. rachiesweet Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    The courtyard measure 40 feet on a side. I just dont understand this question

    • 2 years ago
  8. imagreencat Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Me too. Lol.

    • 2 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.