Question

A storage bin must be 6 in high to fit between two shelves but must contain at least 178 in cubed. How would you write an inequality to express the possible area of the base of the bun

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's assume the dimensions of the storage bin are length (L), width (W), and height (H). We know that the height (H) must be at least 6 inches and the volume (V) must be at least 178 cubic inches.

The volume of a rectangular prism is given by the formula:
V = L * W * H

Given that the height is 6 inches, we can express the volume in terms of just length and width:
178 = L * W * 6
178 = 6LW
LW = 178/6
LW = 29.67

Therefore, the base area of the bin must be greater than or equal to 29.67 square inches.
So, the inequality to express the possible area of the base of the bin would be:
LW ≥ 29.67