We want to construct a box, without a top, like figures 1 & 2 below. We need to use pieces of square cardboard of 120 cm length (each outer side). Figure 1 I What should be the length of x, the sides of the corners of the box, so that the volume is maximum? What is the maximum volume? You can choose more than one solution. a. x = 60 cm, V = 128000 cm³ b. V = 128000 cm³ O c. x = 20 cm, V = 288000 cm² O d. x 20 cm e. x 20 cm, V = 288000 cm³ Check Figure 2

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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We want to construct a box, without a top, like figures 1 & 2 below. We need to use pieces of square cardboard of
120 cm length (each outer side).
Figure 1
What should be the length of x, the sides of the corners of the box, so that the volume is maximum?
What is the maximum volume?
You can choose more than one solution.
a. x = 60 cm, V = 128000 cm³
b.
V =
128000 cm³
O c.
d.
e.
Check
Figure 2
x = 20 cm, V = 288000 cm²
x 20 cm
x = 20 cm, V = 288000 cm³
Transcribed Image Text:We want to construct a box, without a top, like figures 1 & 2 below. We need to use pieces of square cardboard of 120 cm length (each outer side). Figure 1 What should be the length of x, the sides of the corners of the box, so that the volume is maximum? What is the maximum volume? You can choose more than one solution. a. x = 60 cm, V = 128000 cm³ b. V = 128000 cm³ O c. d. e. Check Figure 2 x = 20 cm, V = 288000 cm² x 20 cm x = 20 cm, V = 288000 cm³
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