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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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
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 =
Transcribed Image Text:c) Calculate the maximum value for V. Give your answer correct to 3 decimal places. V =
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