Volume of Prisms and Cylinders

Here, the base is a triangle, so we calculate its area using:

$$ B = \frac{1}{2} \times \text{base} \times \text{height} $$

$$ B = \frac{1}{2} \times 4 \text{ cm} \times 3 \text{ cm} = 6 \text{ cm}^2 $$

Now, multiply by the height, the volume of the Prism is: 

$$ V = B \times h = 6 \text{ cm}^2 \times 5 \text{ cm} = 30 \text{ cm}^3 $$

Thus, the volume of this prism is $30 \text{ cm}^3 $.

Since the base is a circle and $r = 2$ cm, its area is: 

$$ B = \pi r^2 = \pi \times (2 \text{ cm})^2 = 4\pi \text{ cm}^2 $$

Given that $h = 5$ cm, the volume of the cylinder is: 

$$ V = B \times h = 4\pi \text{ cm}^2 \times 5 \text{ cm} = 20\pi \text{ cm}^3 $$

Approximating $\pi \approx 3.14$: 

$$ V \approx 20 \times 3.14 \approx 62.8 \text{ cm}^3 $$

Thus, the volume of this cylinder is around $ 62.8 \text{ cm}^3 $.