The figure below shows a glass prism found in a science laboratory. Calculate the surface area of the prism.

The base of the triangle is 4 cm and its height is 3 cm.

$$\text{Area of base} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \text{ cm} \times 3 \text{ cm} = 6 \text{ cm}^2$$

The sides of the triangle are 4 cm, 5 cm, and 5 cm.

$$\text{Perimeter of base} = 4 \text{ cm} + 5 \text{ cm} + 5 \text{ cm} = 14 \text{ cm}$$

The length of the prism is 15 cm.
The surface area of a prism is $2 \times (\text{Area of base}) + (\text{Perimeter of base}) \times (\text{Length of prism})$.

$$\text{Surface Area} = 2 \times 6 \text{ cm}^2 + 14 \text{ cm} \times 15 \text{ cm}$$ $$\text{Surface Area} = 12 \text{ cm}^2 + 210 \text{ cm}^2$$ $$\text{Surface Area} = \boxed{\text{222 cm}^2}$$