Question

A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at 7.50. If the company's latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?

• A. $960
• B. $1,350
• C. $1,450
• D. $2,250
• E. $2,500

Hint:

When calculating the minimum value of an order, first calculate the number of boxes needed based on volume, then multiply by the price per item.

Answer 1

The Correct Option is B

Step 1: Calculate the volume of each box.
The volume of each box is given by: \[ \text{Volume of each box} = 8 \times 10 \times 12 = 960 \, \text{cubic inches}. \] Step 2: Calculate the number of boxes needed.
To store 288,000 cubic inches, the number of boxes needed is: \[ \text{Number of boxes} = \frac{288,000}{960} = 300 \, \text{boxes}. \] Step 3: Calculate the total value of the order.
Each box contains one hat, and each hat is valued at \$7.50. The total value of the order is: \[ \text{Total value} = 300 \times 7.50 = 1,350. \] Conclusion:
Thus, the minimum value of the order is \$1,350, and the correct answer is (B) \$1,350.