Answer :
Certainly! Let's walk through the steps to solve the problem in detail.
### Step-by-Step Solution:
Step 1: Determine the capacity of one box
- The full capacity of one box is given as 1.32 kg.
Step 2: Calculate the amount of chocolate in a half-filled box
- Since a full box holds 1.32 kg, a half-filled box would hold half of this amount:
[tex]\[ \text{Half-filled box} = \frac{1.32}{2} = 0.66 \text{ kg} \][/tex]
Step 3: Calculate the remaining space in a half-filled box
- If a half-filled box contains 0.66 kg of chocolates, the remaining space will also be:
[tex]\[ \text{Remaining space} = 1.32 - 0.66 = 0.66 \text{ kg} \][/tex]
Step 4: Calculate the total amount of chocolate in the first 60 half-filled boxes
- Each of the first 60 boxes is half-filled with 0.66 kg of chocolates. The total amount in these 60 boxes can be calculated as:
[tex]\[ \text{Total for 60 boxes} = 60 \times 0.66 = 39.6 \text{ kg} \][/tex]
Step 5: Determine the capacity of the second box, which is fully filled
- The second box is said to be able to accommodate its full capacity:
[tex]\[ \text{Accommodated by second box} = 1.32 \text{ kg} \][/tex]
### Summary of Results:
- A half-filled box contains 0.66 kg of chocolates.
- The remaining space in a half-filled box is 0.66 kg.
- The total amount of chocolate in the first 60 half-filled boxes is 39.6 kg.
- The full capacity of the second box is 1.32 kg.
These steps provide a comprehensive and clear understanding of the quantities and capacities involved in the given problem.
### Step-by-Step Solution:
Step 1: Determine the capacity of one box
- The full capacity of one box is given as 1.32 kg.
Step 2: Calculate the amount of chocolate in a half-filled box
- Since a full box holds 1.32 kg, a half-filled box would hold half of this amount:
[tex]\[ \text{Half-filled box} = \frac{1.32}{2} = 0.66 \text{ kg} \][/tex]
Step 3: Calculate the remaining space in a half-filled box
- If a half-filled box contains 0.66 kg of chocolates, the remaining space will also be:
[tex]\[ \text{Remaining space} = 1.32 - 0.66 = 0.66 \text{ kg} \][/tex]
Step 4: Calculate the total amount of chocolate in the first 60 half-filled boxes
- Each of the first 60 boxes is half-filled with 0.66 kg of chocolates. The total amount in these 60 boxes can be calculated as:
[tex]\[ \text{Total for 60 boxes} = 60 \times 0.66 = 39.6 \text{ kg} \][/tex]
Step 5: Determine the capacity of the second box, which is fully filled
- The second box is said to be able to accommodate its full capacity:
[tex]\[ \text{Accommodated by second box} = 1.32 \text{ kg} \][/tex]
### Summary of Results:
- A half-filled box contains 0.66 kg of chocolates.
- The remaining space in a half-filled box is 0.66 kg.
- The total amount of chocolate in the first 60 half-filled boxes is 39.6 kg.
- The full capacity of the second box is 1.32 kg.
These steps provide a comprehensive and clear understanding of the quantities and capacities involved in the given problem.