Let's solve the problem described in the image step by step.

Given Information:

• The crate is a cuboid with dimensions:
  • Length = 2.4 m
  • Width = 1.8 m
  • Height = 1.1 m
• Each box is a cube with a side length of 60 cm (or 0.6 m).

Steps:

1. Volume of the crate: The volume of the crate can be calculated using the formula for the volume of a cuboid: $V_{\text{crate}} = \text{length} \times \text{width} \times \text{height} = 2.4 \, \text{m} \times 1.8 \, \text{m} \times 1.1 \, \text{m}$

2. Volume of each box: The volume of each cube-shaped box is given by the formula for the volume of a cube: $V_{\text{box}} = \text{side}^3 = 0.6 \, \text{m} \times 0.6 \, \text{m} \times 0.6 \, \text{m}$

3. Number of boxes that fit: The total number of boxes that can fit into the crate is calculated by dividing the volume of the crate by the volume of each box: $\text{Number of boxes} = \frac{V_{\text{crate}}}{V_{\text{box}}}$

Let's compute the answer.The total number of boxes that can fit in the crate is 22 boxes.

Would you like further details or have any other questions?

Here are 5 related questions for practice:

1. What would happen if the dimensions of the crate were increased by 50%?
2. How many boxes would fit if the side length of each box was 70 cm instead of 60 cm?
3. If the crate height was reduced by 20 cm, how many boxes would fit?
4. How many more boxes could fit if the width of the crate was increased by 0.5 meters?
5. If the crate had an irregular shape, what method would be used to calculate the maximum number of boxes?

Tip: When calculating volume-based problems, always ensure that all dimensions are in the same unit (e.g., meters or centimeters).