(d) Complete the following table. Length (ft) Area (ft2) 30 40 50 60 70 80 90 100 110 120 130 140 (e) Does one of these values give a maximum area? Explain. The maximum area given in the table is ___ft2, when the length is either ___ft (smaller value) or ___ft (larger value).
(d) Complete the following table. Length (ft) Area (ft2) 30 40 50 60 70 80 90 100 110 120 130 140 (e) Does one of these values give a maximum area? Explain. The maximum area given in the table is ___ft2, when the length is either ___ft (smaller value) or ___ft (larger value).
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 32A: A piece in the shape of a frustum of a pyramid with regular octagon bases is 23.84 centimeters high....
Related questions
Question
A company needs to build a warehouse with perimeter 300 ft. Find the dimensions to give maximum floor space.
(a)
If the length is 10 ft, what is the area (in ft2)?
Answer: 1400 ft2
(b)
If the length is 20 ft, what is the area (in ft2)?
Answer: 2600ft2
(c)
Write the formula (model) for the area in terms of the length l.
Answer: A(l) = (150−l) x l = 150l −l2
(d)
Complete the following table.
| Length (ft) | Area (ft2) |
|---|---|
| 30 | |
| 40 | |
| 50 | |
| 60 | |
| 70 | |
| 80 | |
| 90 | |
| 100 | |
| 110 | |
| 120 | |
| 130 | |
| 140 |
(e)
Does one of these values give a maximum area? Explain.
The maximum area given in the table is ___ft2, when the length is either ___ft (smaller value) or ___ft (larger value).
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