An open box is to be constructed from a piece of cardboard 24 cm by 35 cm by cutting squares of side length x from each corner and folding up the sides, as shown in the figure.
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(a) Express the volume V of the box as a function of x.
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__________
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(b) What is the domain of V? (Use the fact that length and volume must be positive.)
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__________ 
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(c) Draw a graph of the function V and use it to estimate the maximum volume for such a box. Please round the answer to the nearest whole number.
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__________ cm3
What will be an ideal response?
; 0; 12; 1,756.7You might also like to view...
Perform the addition or subtraction and give your answer in Hindu-Arabic form.
A. 55,601 B. 55,591 C. 56,591 D. 55,501
Provide an appropriate response.Determine x on the plot of land described by the given figure. 
A. 94.69 ft B. 913.4 ft C. 528.4 ft D. 334.6 ft
Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.B = 53.2°C = 100.6°b = 31.5
A. A = 24.2°, a = 40.7, c = 19.4 B. A = 26.2°, a = 17.4, c = 38.7 C. A = 26.2°, a = 19.4, c = 40.7 D. A = 24.2°, a = 38.7, c = 17.4
Solve the problem.Two pipes can be used to fill a pool. Working together, the two pipes can fill the pool in 
The larger pipe can fill the pool in 4 hours less time than the smaller pipe can alone. Find the time to the nearest tenth of an hour it takes for the smaller pipe working alone to fill the pool.
A. 8.7 hr B. 4.7 hr C. 4.6 hr D. 8.6 hr