A company has 200 boxes of marshmallows that it wants to export by land in a refrigerated box. The boxes of marshmallows measure 60x40x30 cms. with a unit weight of 12 kgs. The  48-foot trailer dimensions are 14.40x2.51x2.75 meters, with a door dimension of 2.36x2.66 meters. The boxes will be packaged using wooden pallets of 120x120x15 cms. with a unit weight of 23 kgs. If the trailer freight rate is USD$0.50/kg collect, how much will be the freight cost to be pay by the company ?

To calculate the total freight cost that the company will pay, we need to:

1. **Determine the total weight of the shipment** (including the marshmallow boxes and the pallets).
2. **Verify if the boxes can fit in the trailer's volume** based on the dimensions of the boxes, pallets, and trailer.
3. **Calculate the freight cost based on the total weight and the freight rate.**

### Step 1: Total Weight of Shipment

- Each box of marshmallows weighs 12 kg.
- The company has 200 boxes, so:
  \[
  \text{Total weight of boxes} = 12 \, \text{kg/box} \times 200 \, \text{boxes} = 2400 \, \text{kg}
  \]

- The pallets have a unit weight of 23 kg each. To determine how many pallets are needed, we need to calculate how many boxes fit on each pallet.

### Step 2: Number of Boxes Per Pallet and Pallets Required

- The dimensions of the boxes are $60 \times 40 \times 30 \, \text{cm}$, and the pallet's dimensions are $120 \times 120 \, \text{cm}$ for the base.
- To determine how many boxes fit on a pallet, consider the area of the pallet:
  \[
  \text{Pallet area} = 120 \, \text{cm} \times 120 \, \text{cm} = 14400 \, \text{cm}^2
  \]

- The area of one box (based on its base dimensions of $60 \, \text{cm} \times 40 \, \text{cm}$) is:
  \[
  \text{Box area} = 60 \, \text{cm} \times 40 \, \text{cm} = 2400 \, \text{cm}^2
  \]

- The number of boxes that can fit on one pallet is:
  \[
  \frac{\text{Pallet area}}{\text{Box area}} = \frac{14400 \, \text{cm}^2}{2400 \, \text{cm}^2} = 6 \, \text{boxes/pallet}
  \]

- Therefore, we need:
  \[
  \frac{200 \, \text{boxes}}{6 \, \text{boxes/pallet}} = 33.33 \, \text{pallets}
  \]
  Since pallets must be whole, we round up to 34 pallets.

### Step 3: Total Weight of Pallets

- Each pallet weighs 23 kg, so the total weight of the pallets is:
  \[
  \text{Total pallet weight} = 34 \, \text{pallets} \times 23 \, \text{kg/pallet} = 782 \, \text{kg}
  \]

### Step 4: Total Shipment Weight

The total weight of the shipment (boxes + pallets) is:
\[
\text{Total weight} = 2400 \, \text{kg} + 782 \, \text{kg} = 3182 \, \text{kg}
\]

### Step 5: Freight Cost Calculation

- The freight rate is USD $0.50/kg. Therefore, the freight cost is:
  \[
  \text{Freight cost} = 3182 \, \text{kg} \times 0.50 \, \text{USD/kg} = 1591 \, \text{USD}
  \]

Thus, **the total freight cost to be paid by the company is USD $1591**.

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Would you like more details or have any other questions?

### Related Questions:
1. How would the freight cost change if the freight rate were USD $0.75/kg?
2. What would the total freight cost be if the boxes weighed 15 kg each instead of 12 kg?
3. How many boxes would fit in the trailer if we consider vertical stacking?
4. Could the company reduce freight costs by using larger pallets that fit more boxes?
5. What is the maximum load capacity of a 48-foot trailer?

**Tip:** Ensure that the total volume and weight are within the trailer’s carrying limits to avoid extra costs.

A company has 200 boxes of marshmallows that it wants to export by land in a refrigerated box. The boxes of marshmallows measure 60x40x30 cms. with a unit weight of 12 kgs. The 48-foot trailer dimensions are 14.40x2.51x2.75 meters, with a door dimension of 2.36x2.66 meters. The boxes will be packaged using wooden pallets of 120x120x15 cms. with a unit weight of 23 kgs. If the trailer freight rate is USD$0.50/kg collect, how much will be the freight cost to be pay by the company?

Calculate the freight cost for transporting 200 boxes of marshmallows in a refrigerated 48-foot trailer. Learn how to compute the total shipment weight, including the weight of boxes and pallets, and determine the freight cost based on the weight rate of USD$0.50/kg. This problem involves geometry, logistics, and weight calculations, suitable for Grades 11-12.

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