GRADE 10 QUARTER 1 WEEK 4
C. create a polynomial equation to present the situation below. solve the equation and state the answer .(2p)
A rectangular metal box has dimensions of 3cm,5cm,and 8cm. the new volume is 72cm3 larger than the olds volume if the first two dimensions are increasted by the same number of centimeters and the third dimension remains unchanged. What is the new dimension of the rectangular metal box that has been enlarged?
malaki ako mag bigay ng points right now kailanga n ko ng matinong sagot
Answers & Comments
Step-by-step explanation:
(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.