SOLUTION: An open wooden box is a cube with side x cm. The box, including its bottom, is made of wood that is 1 cm thick. Find a polynomial for the interior volume of the cube.
I think
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I think
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Question 141380This question is from textbook Introductory Algebra
: An open wooden box is a cube with side x cm. The box, including its bottom, is made of wood that is 1 cm thick. Find a polynomial for the interior volume of the cube.
I think I would find the total volume first: V=(l)(w)(h) V=(xcm)(xcm)(xcm) then subtract the anterior volume of V=(x-1cm)(x-1cm)(x-1cm). Am I on the right path? This question is from textbook Introductory Algebra
You can put this solution on YOUR website! An open wooden box is a cube with side x cm. The box, including its bottom, is made of wood that is 1 cm thick. Find a polynomial for the interior volume of the cube.
:
I think the inside dimensions would be:
L = x-2
W = x-2
h = x-1; because it is an open box
:
V = (x-2)^2 * (x-1)
V = (x^2 - 4x + 4) * (x-1)
V = x^3 - 5x + 8x - 4
