1. Corners are cut from a 30 cm by 20 cm piece of cardboard. The volume is V(x) = x(30 - 2x)(20- 2x) with height x. %3D a) Calculate the volume when the height is 2 cm. b) Calculate the dimensions of a box with a volume of 1000 cm. c) Solve V(x) >0 and discuss the meaning in the context of the question.
1. Corners are cut from a 30 cm by 20 cm piece of cardboard. The volume is V(x) = x(30 - 2x)(20- 2x) with height x. %3D a) Calculate the volume when the height is 2 cm. b) Calculate the dimensions of a box with a volume of 1000 cm. c) Solve V(x) >0 and discuss the meaning in the context of the question.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.9: Area Problems
Problem 4P
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Transcribed Image Text:c) Solve V(x)>0 and discuss the meaning in the context of the question.
d) State the restrictions in the context of the question.
Transcribed Image Text:- BI
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ニ 三
2
1. Corners are cut from a 30 cm by 20 cm piece of cardboard. The volume is
V(x)
x(30 - 2x)(20- 2x) with height x.
%3D
a) Calculate the volume when the height is 2 cm.
b) Calculate the dimensions of a box with a volume of 1000 cm.
c) Solve V(x) > 0 and discuss the meaning in the cotext of the question.
四
III
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