Question

A 3 inch thick slice is cut off the top of a cube, resulting in a rectangular box that has volume 128in^3 .Round your answer to two decimal places

Answer 1

What is the question?

Answer 2

x*x*(x-3) = 128
x^3 - 3 x^2 = 128

x^3 - 3 x^2 - 128 = 0
try x = 6
216 - 108 - 128 = -20
try x = 6.5
19.875
hmm try 6.25
-1.05
so try 6.20
-4.99
try 6.3
2.98
try 6.26
-.248
try 6.27
.553
so x = about 6.26