The horizontal base of a solid prism is an equilateral triangle of side x cm. The sides of the prism are vertical. The height of the prism is h cm and the volume of the prism is 2000 cm³. (i) Express h in terms of x and show that the total surface area of the prism, A cm², is given by √3 24000 √3 (ii) Given that x can vary, find the value of x for which A has a stationary value. (iii) Determine, showing all necessary working, the nature of this stationary value. A

The horizontal base of a solid prism is an equilateral triangle of side x cm. The sides of the prism are vertical. The height of the prism is h cm and the volume of the prism is 2000 cm³. (i) Express h in terms of x and show that the total surface area of the prism, A cm², is given by √3 24000 √3 (ii) Given that x can vary, find the value of x for which A has a stationary value. (iii) Determine, showing all necessary working, the nature of this stationary value. A

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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