To calculate the volume of the given object, we observe that it consists of two parts:

1. A rectangular prism (cuboid) at the base.
2. A cylinder on top of the cuboid.

Step 1: Volume of the rectangular prism

The volume of a rectangular prism is given by:

$V_{\text{prism}} = \text{length} \times \text{width} \times \text{height}$

Here:

• Length = 4.5 m
• Width = 4.5 m
• Height = 3.5 m

$V_{\text{prism}} = 4.5 \times 4.5 \times 3.5 = 70.875 \, \text{m}^3$

Step 2: Volume of the cylinder

The volume of a cylinder is given by:

$V_{\text{cylinder}} = \pi r^2 h$

Here:

• Radius $r = \frac{\text{diameter}}{2} = \frac{0.8}{2} = 0.4 \, \text{m}$
• Height $h = 5.2 \, \text{m}$

$V_{\text{cylinder}} = \pi (0.4)^2 (5.2)$ $V_{\text{cylinder}} = \pi (0.16)(5.2) = \pi (0.832) \approx 2.615 \, \text{m}^3$

Step 3: Total volume

The total volume is the sum of the volumes of the prism and the cylinder:

$V_{\text{total}} = V_{\text{prism}} + V_{\text{cylinder}}$ $V_{\text{total}} = 70.875 + 2.615 \approx 73.49 \, \text{m}^3$

Final Answer:

The total volume of the object is approximately:

$\boxed{73.49 \, \text{m}^3}$

Do you want further explanation or details?
Here are 5 related questions to expand your understanding:

1. How would the total volume change if the cylinder's height were doubled?
2. What is the surface area of this composite object?
3. How would the calculation change if the prism's base were circular instead of square?
4. Can you calculate the weight of the object if it's made of a material with a known density?
5. How would you calculate the volume if the cylinder was hollow?

Tip: When solving composite volume problems, break the shape into simpler parts and solve each part individually.