The dimension of a rectangular metal box are 3 cm,5cm and 8cm.if the first two dimensions are increased by the same number of centimeters, while the third dimension remains the same, the new volume is 34 cubic cetimeters more than the original volume.what is the new dimension of the enlarged rectangular metal box?

Question

Henry · Accepted Answer

(3+x)*(5+x)*8 = 120+34.
(3x+15 + x^2+5x)*8 = 154,
(x^2+8x+15)*8 = 154,
8x^2 + 64x + 120 = 154,
8x^2 + 64x - 34 = 0,
Use Quad. Formula:
X = (-64 +- Sqrt(4096+1088))/16
X = (-64 +- 72)/16 = 0.50 cm, or X = - 8.50 cm.(Not valid).

Solution: X = 0.50 cm. added.

New Dimensions = 3.50 cm, 5.50 cm, and 8 cm.

Love · Answer

The dimension of rectangular mental box of 3 cm 5 cm and 8 cm is the first two dimension of the increase by the same number of cm while the third dimension remain the same the new value volume and 34 cm cubic more than the original volume what is the new dimension of the in large rectangular metal box