An 18 in. by 16 in. rectangular piece of cardboard is used to make an open-top box with a volume of 336 in. by cutting identical squares, of side length x inches, from each corner. A diagram is shown below. 3 18 in. 16 in.

An 18 in. by 16 in. rectangular piece of cardboard is used to make an open-top box with a volume of 336 in. by cutting identical squares, of side length x inches, from each corner. A diagram is shown below. 3 18 in. 16 in.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter8: Polynomials

Section8.4: Special Products

Problem 65PFA

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Question

An 18 in. by 16 in. rectangular piece of cardboard is used to make an open-top box with a
volume of 336 in. by cutting identical squares, of side length x inches, from each corner.
A diagram is shown below.
3
?
18 in.
12.
A polynomial equation that can be used to determine the dimensions of the box is
A. x(18– 2x)(16 – 2x) + 336 = 0
B. x(18– 2x)(16 – 2x) – 336 = 0
C. 2r(18–x)(16 – x) +336 = 0
D. 2r(18–x)(16 – x) – 336 = 0
16 in.

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