I need help finding the end behavior
1 answer:
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Answer:
For minimum surface area, the base length and height are equal in length and <u>equal to 14 inches.</u>
Step-by-step explanation:
Given:
Volume of rectangular solid (V) = 2744 cubic inches
Length of base side = 'w'
Height of solid = 'h'
We know that,
Volume = Area of base × Height
Now, surface area of the solid is given as:
Plug in 'h' value from equation (1). This gives,
Now, for minimum surface area, the derivative of surface area with respect to length 'w' must be 0.
Differentiating both sides with respect to 'w' and equating it to 0, we get:
Therefore, the base length is 14 inches.
Now, from equation (1), the height is given as:
Therefore, for minimum surface area, the base length and height are equal in length and equal to 14 inches.