1. 1400 cm² of material is available to create a box with a square base, and a closed top. Draw a diagramand label the knowns and unknowns, then find a formula for the volume of such a box, as a functionof a single variable.2. A farmer has 1200 feet of fencing to enclose a trapezoidal field along a slanted river, as shown in thediagram below. One of the parallel sides is three times longer than the other. No fence is needed alongthe river. The farmer wishes to make the area of the field as large as possible. Use the diagram belowto identify the objective (primary) equation and the constraint (secondary) equation.3xriverY

Since you have posted multiple questions i can do first question as per our company guidelines…

1. 1400 cm² of material is available to create a box with a square base, and a closed top. Draw a diagram and label the knowns and unknowns, then find a formula for the volume of such a box, as a function of a single variable.

1. 1400 cm² of material is available to create a box with a square base, and a closed top. Draw a diagram and label the knowns and unknowns, then find a formula for the volume of such a box, as a function of a single variable.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time

Section: Chapter Questions

Problem 44A: Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN Seven brass...

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Question

1. 1400 cm² of material is available to create a box with a square base, and a closed top. Draw a diagram
and label the knowns and unknowns, then find a formula for the volume of such a box, as a function
of a single variable.
2. A farmer has 1200 feet of fencing to enclose a trapezoidal field along a slanted river, as shown in the
diagram below. One of the parallel sides is three times longer than the other. No fence is needed along
the river. The farmer wishes to make the area of the field as large as possible. Use the diagram below
to identify the objective (primary) equation and the constraint (secondary) equation.
3x
river
Y

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