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The volume of a box is V = length"width height. We are calling the length, x, and the height, h. The box has a square base, so we have V = xh. The volume is 4000 cm. So we have the equation 4000 = rh. %3D Solving the volume equation for h, we get: h Get the surface area in terms of just x, by substituting your previous answer in for h. Do not get a common denominator. Area = Now write your formula with a common denominator. Area = Use a graphing calculator or Excel to look at the graph of the function to find the value of x that minimizes the surface area. The length of the box that minimizes the surface area is x = The minimum surface area is What would the height of the box ned to be to minimize the surface area?

The volume of a box is V = length"width height. We are calling the length, x, and the height, h. The box has a square base, so we have V = xh. The volume is 4000 cm. So we have the equation 4000 = rh. %3D Solving the volume equation for h, we get: h Get the surface area in terms of just x, by substituting your previous answer in for h. Do not get a common denominator. Area = Now write your formula with a common denominator. Area = Use a graphing calculator or Excel to look at the graph of the function to find the value of x that minimizes the surface area. The length of the box that minimizes the surface area is x = The minimum surface area is What would the height of the box ned to be to minimize the surface area?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.7: Volumes Of Prisms And Cylinders
Problem 21E
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The volume of a box is V = length*width*height. We are calling the length, x, and the height, h. The box has a square base, so we have V = x*h. The volume is 4000 cm. So we have the equation 4000 = x ?h. Solving the volume equation for h, we get: h = Get the surface area in terms of just x, by substituting your previous answer in for h. Do not get a common denominator. Area = Now write your formula with a common denominator. Area = Use a graphing calculator or Excel to look at the graph of the function to find the value of ar that minimizes the surface area. The length of the box that minimizes the surface area is x = The minimum surface area is What would the height of the box ned to be to minimize the surface area?
Transcribed Image Text:The volume of a box is V = length*width*height. We are calling the length, x, and the height, h. The box has a square base, so we have V = x*h. The volume is 4000 cm. So we have the equation 4000 = x ?h. Solving the volume equation for h, we get: h = Get the surface area in terms of just x, by substituting your previous answer in for h. Do not get a common denominator. Area = Now write your formula with a common denominator. Area = Use a graphing calculator or Excel to look at the graph of the function to find the value of ar that minimizes the surface area. The length of the box that minimizes the surface area is x = The minimum surface area is What would the height of the box ned to be to minimize the surface area?
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