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NemiM [27]
3 years ago
5

A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
8 0

9514 1404 393

Answer:

  (b)  5 inches

Step-by-step explanation:

A graphing calculator makes short work of the problem. No system of equations is needed.

The volume of the new prism is ...

  V = LWH

  450 = x(x+4)(2x)

  x(2x)(x+4) -450 = 0 . . . . . equation for graphing

The only real solution is x = 5.

The side length of the original cube was 5 inches.

KengaRu [80]3 years ago
3 0

Answer:

Step-by-step explanation:

new dimensions of prism: x by (x+4) by (2x).

volume = x(x+4)(2x) = 2x³ + 8x²

2x³ + 8x² = 450

2x³ + 8x² - 450 = 0

x³ + 4x² - 225 = 0

x = 5 in

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