Question

A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rectangular prism is 450 cubic inches. The equation can be used to find x. What was the side length of the original cube? Use a graphing calculator and a system of equations to find the answer.​

Answer 1

Let the side of the cube be x.

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Therefore,

Length of cuboid = x + 4 inches

Breadth of cuboid = 2x inches

Height of cuboid = x inches

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Volume of cuboid = $L \times B \times H$

$450\:=\:(x + 4)(2x)(x)$

$450 = {2x}^3 + {8x}^{2}$

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Plotting this on graph using a graphing calculator (graph in attachment) we get the $\large\cal{\underline{\red{length\:of\:cube\:=\:5\:inches}}}$

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Answer 2

Answer:

i hope the given answer helps you..