Questions: pa1 pa2 pa3 pa4 pa5 pa6 pa7

Solution Steps

The given shape is a rectangular prism with a triangular prism on top. The dimensions provided are:

• Rectangular prism: 5 units (length), 3 units (width), 2 units (height)
• Triangular prism: 3 units (base), 3 units (height), 1.5 units (depth)

The volume $V$ of a rectangular prism is given by: $$V = \text{length} \times \text{width} \times \text{height}$$ $$V = 5 \times 3 \times 2 = 30 \text{ cubic units}$$

The volume $V$ of a triangular prism is given by: $$V = \frac{1}{2} \times \text{base} \times \text{height} \times \text{depth}$$ $$V = \frac{1}{2} \times 3 \times 3 \times 1.5 = \frac{1}{2} \times 13.5 = 6.75 \text{ cubic units}$$

Final Answer