A box (open top) is made from a 12 × 16 inch sheet by cutting equal squares of side x from each corner and folding up. Express the volume.
A V(x) = x(12 − 2x)(16 − 2x)
B V(x) = (12 − x)(16 − x)x
C V(x) = 12 · 16 · x
D V(x) = (12 + 2x)(16 + 2x)
Explanation
After folding: base length = 12 − 2x, base width = 16 − 2x, height = x. V = x(12 − 2x)(16 − 2x).