Question

Andy is making paper boxes of different sizes. The supplies are limited, therefore, Andy restricted the volume of each box to 240 cubic inches or

less and the base area to exactly 30 square inches. Find the range of the height, h.

Answer 1

0 < h ≤ 8 inches

Explanation:

The volume of each box is given by the base area multiplied by the height.

If total volume must not exceed 240 cubic inches, then:

`240\geq 30h\\h\leq 8`

Since no minimum volume was set, the height can range from any value greater than zero to exactly 8 inches:

0 < h ≤ 8 inches