An open box with a square base is to be made from a square piece of cardboard 42 inches on a side by cutting out a square from each corner and turning up the sides. See the figure. Answer parts (a) - (d). х х х х 42 in х х 42 in х х (b) What is the volume if an 8-inch square is cut out? The volume is 5408 cu in. (Simplify your answer.) (c) What is the volume if a 20-inch square is cut out? The volume is 80 cu in. (Simplify your answer.) (d) Graph V= V(x). Choose the correct graph below. B. O C. D. AV(x) 6000- AV(x) 6000- AV(x) 6000- AV(x) 3000- X. 0- 0- 0- 0- 21 21 21 21 For what value of x is V largest?
An open box with a square base is to be made from a square piece of cardboard 42 inches on a side by cutting out a square from each corner and turning up the sides. See the figure. Answer parts (a) - (d). х х х х 42 in х х 42 in х х (b) What is the volume if an 8-inch square is cut out? The volume is 5408 cu in. (Simplify your answer.) (c) What is the volume if a 20-inch square is cut out? The volume is 80 cu in. (Simplify your answer.) (d) Graph V= V(x). Choose the correct graph below. B. O C. D. AV(x) 6000- AV(x) 6000- AV(x) 6000- AV(x) 3000- X. 0- 0- 0- 0- 21 21 21 21 For what value of x is V largest?
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 19A: A rectangular steel plate 15.10 inches long and 12.45 inches wide weighs 19.4 pounds. Find the...
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Transcribed Image Text:An open box with a square base is to be made from a square piece of cardboard 42 inches on a side by cutting out a square from each corner and turning up the sides. See the figure. Answer parts (a) - (d).
х
х
х
х
42 in
х
х
42 in
х
х
(b) What is the volume if an 8-inch square is cut out?
The volume is 5408 cu in. (Simplify your answer.)
(c) What is the volume if a 20-inch square is cut out?
The volume is 80 cu in. (Simplify your answer.)
(d) Graph V= V(x). Choose the correct graph below.
B.
O C.
D.
AV(x)
6000-
AV(x)
6000-
AV(x)
6000-
AV(x)
3000-
X.
0-
0-
0-
0-
21
21
21
21
For what value of x is V largest?
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