Question

express the dimensions of a rectangular prism in terms of x,y,z, and a in factored form

Answer 1

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Answer on Question #53194 – Math – Geometry

Express the dimensions of a rectangular prism in terms of $x, y, z$, and in a factored form

Solution

$a = 2(xy + xz + yz)$ is surface area of a rectangular prism

$$x = \frac{a - 2yz}{2(y + z)}$$ $$y = \frac{a - 2xz}{2(x + z)}$$ $$z = \frac{a - 2xy}{2(x + y)}$$