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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.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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: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.
- BI 三 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
Transcribed Image Text:- BI 三 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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