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 2y3+8x2-450 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.
O 4 inches
O5 inches
O 9 inches
O 10 inches

9514 1404 393

  (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.

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

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