History:

History:

Henry’s Courtside, the eatery inside Hudson Hall, is used daily by numerous MSMC students and staff. The small cafe originally opened up as Café Yella’s, but was changed to Sandella’s Flatbread Café in March of 2011; however, just five months later the café’s name changed yet again to Henry’s Courtside.

**Problem:**

John wants to have a meeting for Math Club in Henry’s Courtside. He is expecting 68 people in total at this

meeting and must adhere to the room’s capacity limit. The room’s max capacity is one person for every 100 cubic

feet. John took some measurements and these where his findings: one side of the room is 7 feet tall; the opposite side is 9 feet 9 inches tall; the width of the room is 18 feet; and the length is 40 feet. Also, there were three additions to the eatery. One was 8 feet 9 inches tall, with a width of 3 feet, and a length of 11 feet. The second had a height of 8 feet 9 inches, a width of 5 feet, and a length of 5 feet. And the last had a height of 8 feet 9 inches, a width of 6 feet 6 inches, and a length of 7 feet.

1. Using John’s measurements, find the volume of

the room.

a. First using V=length x width x height

b. Next, using integrals to check your work

2. Will John be able to have all 68 people at the meeting?

3. If so, how many more students can come to the meeting before it reaches max capacity?

MSMC Henry's Courtside Integrals worksheet and solutions | |

File Size: | 513 kb |

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