A cuboid measuring 5x cm by x cm by hcm. The total surface area of the brick is 720 cm². a) Volume of the brick, Vcm³ (after constraint), is given by V(x) = cm³ b) Find the value of x for which V is stationary. Give your answer correct to 3 decimal places. X
A cuboid measuring 5x cm by x cm by hcm. The total surface area of the brick is 720 cm². a) Volume of the brick, Vcm³ (after constraint), is given by V(x) = cm³ b) Find the value of x for which V is stationary. Give your answer correct to 3 decimal places. X
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...
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Question
![A cuboid measuring 5x cm by x cm by hcm. The total surface area of the brick is
720 cm².
a)
Volume of the brick, Vcm³ (after constraint), is given by
V(x) =
cm³
=
b)
Find the value of x for which V is stationary.
Give your answer correct to 3 decimal places.
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f912aa4-648a-440a-a7d0-ab32aa6510e8%2F202f6f24-a9af-4cde-80d8-bc0734e41d63%2Fozjutgr_processed.png&w=3840&q=75)
Transcribed Image Text:A cuboid measuring 5x cm by x cm by hcm. The total surface area of the brick is
720 cm².
a)
Volume of the brick, Vcm³ (after constraint), is given by
V(x) =
cm³
=
b)
Find the value of x for which V is stationary.
Give your answer correct to 3 decimal places.
X
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![c)
Calculate the maximum value for V.
Give your answer correct to 3 decimal places.
V =](https://content.bartleby.com/qna-images/question/9f912aa4-648a-440a-a7d0-ab32aa6510e8/f4f73d1b-8044-40a0-ad97-49ac32ab1f47/wz5ldfj_thumbnail.png)
Transcribed Image Text:c)
Calculate the maximum value for V.
Give your answer correct to 3 decimal places.
V =
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