A storage bin must be 6 inches high to fit between two shelves but must contain at least 178 in.³. How would you write an inequality to express the possible area, b, of the base of the bin? ___b
To write an inequality expressing the possible area, b, of the base of the bin, we can use the formula for the volume of a rectangular prism:
Volume = base area * height
Given that the height must be at least 6 inches and the volume must be at least 178 in.³, we can write:
b * 6 ≥ 178
This inequality simplifies to:
6b ≥ 178
Therefore, the inequality expressing the possible area, b, of the base of the bin is:
b ≥ 178 / 6
b ≥ 29.67 in.²