Finding the area of a cube
- Thread starter BMWrider
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BMWrider said:
In my opinion, this is a poorly stated problem. As the previous responder stated...
V = (x+3)(x+2)(x + 5)
The volume is the result of multiplying the area of the base times its height.
Of course, it depends on which of the faces of the box it is sitting. You have three different results depending on which face you want to call the base.
In V = (x^2 + 5x + 6)(x + 5), x^2+5x+6 could represent the base.
In V = (x^2 + 8x +15)(x+2), x^2 + 8x +15 can represent the base.
In V = (x^2+7x+10)(x+3), x^2+7x+10 can represent the base.
V = (x+3)(x+2)(x + 5)
The volume is the result of multiplying the area of the base times its height.
Of course, it depends on which of the faces of the box it is sitting. You have three different results depending on which face you want to call the base.
In V = (x^2 + 5x + 6)(x + 5), x^2+5x+6 could represent the base.
In V = (x^2 + 8x +15)(x+2), x^2 + 8x +15 can represent the base.
In V = (x^2+7x+10)(x+3), x^2+7x+10 can represent the base.
The problem DOES state that the height of the box is (x + 2)
Once you've factored the trinomial as suggested by the previous responder, and have
Volume = (x + 3)(x + 2)(x + 5)
you may wish to recall that
Volume = (area of base)*(height)
We know that the height is (x + 2).....the problem says so. Rearrange to put the factor of (x + 2) at the "end." Thus, the remaining two factors (x + 3)(x + 5) must give the area of the base:
Volume = [(x + 3)(x + 5)] * (x + 2)
Now, multiply out (x + 3)(x + 5) to find the polynomial which represents the area of the base.
Once you've factored the trinomial as suggested by the previous responder, and have
Volume = (x + 3)(x + 2)(x + 5)
you may wish to recall that
Volume = (area of base)*(height)
We know that the height is (x + 2).....the problem says so. Rearrange to put the factor of (x + 2) at the "end." Thus, the remaining two factors (x + 3)(x + 5) must give the area of the base:
Volume = [(x + 3)(x + 5)] * (x + 2)
Now, multiply out (x + 3)(x + 5) to find the polynomial which represents the area of the base.