SOLUTION: You are building a wooden sandbox for a local playground. You want tthe volume of the box to be 16 cubic feet. You want the height of the box to be x feet and the length of each si

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: You are building a wooden sandbox for a local playground. You want tthe volume of the box to be 16 cubic feet. You want the height of the box to be x feet and the length of each si      Log On


   



Question 626841: You are building a wooden sandbox for a local playground. You want tthe volume of the box to be 16 cubic feet. You want the height of the box to be x feet and the length of each side of the square base to be x + 3 feet.
Write an equation for the volume of the sandbox. v = l * w* h

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Volume+=+x%28x%2B3%29%5E2+=+16
+x%5E3+%2B+6x%5E2+%2B+9x+-16+=+0
+%28x-1%29%28x%5E2%2B7x%2B16%29+=+0
x-1=0+ or x%5E2%2B7x%2B16+=+0
The quadratic equation has no real solution because b%5E2-4ac+=+7%5E2-4%281%29%2816%29=-15%3C0
The linear equation x-1=0 has solution x=1.
Therefore length = x + 3 = 1 + 3 = 4
width = x + 3 = 1 + 3 = 4
and height = x = 1
highlight%28Volume+=+4+ft+%2A+4+ft+%2A+1+ft+%29