Question 944408
V=L*W*H
60 cu ft=L*3*(L+6) Divide each side by 3 ft
20 sq ft=L*(L+6)
{{{20 sq ft=L^2+6L}}} Subtract 20 sq ft from each side
{{{0=L^2+6L-20 sq ft}}}*[invoke quadratic "L", 1, 6, -20 ]
Answers 2.385, -8.385 ANSWER L=2.385  (the other answer reverses L and H)
60 cu ft = (2.385 ft)(3 ft)H
60 cu ft=7.155H sq ft divide each side by 7.155 sq ft
8.386 ft=H
CHECK
60 cu ft=L*W*H
60 cu ft=(2.385 ft)(3 ft)(8.386 ft)
60 cu ft=60 cu ft